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"Ir-ve'ti~-Btiar: of the LO~,'SADZE, D. Y. , Cand Tech Sci (d,ss) stress-defori,,iation condition uFon transverse rolliL-~-, a,~~j pp w~tjj illustrati(Dns; ing." Dnepropetrovsk, 1960. 2r _C of' Sciences Ukrainian SSR, Tnst of Yerrous Metallurgy); copies; free; (KL, 18-60, 151) OKLET, L. H. -. LOHSADZE, D. 14. Deformations and strains in transverse forging. Izv.v7s.ucbeb. zav.; chern.met. no.3:44-50 160. (MIR& 13:4) 1. Gruzinskly litekhnicheekiy institut. (Forgingr (DeformationskMechanics)) S/137/61/000/011/050/123 A060/A 10 1 AbTHORS: Okley, L. N., LoMsadze, D. M., Luzin, Yu. F. TITLE: Plerceability of steel mark 20 as a flunction of temperature FERTODICAL: Referativnyy zhurnal, Metallurglya, no. 11, 1961, 33, abstract 11D197 ("Snromebt, Tr. Gruz. politekhn. In-t", 1959, no. 3(64) 87-91) TEXT: The effect of temperature upon the plerceability of steel mark 20 was verified both under laboratory and plant conditions. On the basis of the experiments, a curve was constructed expressIng the dependence of the critical reduction upon the temperature. The tendency of steel mark 20 to fracture under oblique rolling Is reduced as the temperature Increases. K. Ursova [Abstracter's note: Complete translation] Card 1/1 NOZAIP, Aleksandr Davidovich; .LOMADZE,, Dzh2!g~,,Blk~ bj (PrinrVples of rolling mill practice] [Osnovy prokatnogo proisvodstva. Tbilisi, Gos.12d-vo uchebno-pedagog. lit-ry "TSodna,m] 1961. 430 P. (MIRA 16:9) (Rolling (Metalwork)) ML~-I, L.1111.; LCKSA =Z.-E - Process of dingons-I rolling withowl. mandrels. Trudy GPI (Gruz.] no.4:93-99 16Z (MIRA 1'7.-8) 71JITERIN!"', A.I.; LMSADZT, Pzh.11. -, - - I -"-- Deformation PT~07~esz dur"rig, tM rolling of' pipe on wn mati.-3 mill. Tnidy G!'.T [Gruzj nri.42-101-lWi 162' (1,11al, SOSELIYA, L.D,, inzh.; LOMSADZE, I.A., inzh.; YASHAGASHVILI, Ye.I. QuRlity of clinkers has b--en improved. 75emant 31 no.5:16-17 S-0 16A (MIRA 18t1;) 1, Rustavakiy taementnyy zavod. T,(t:,'j~,AD7Z, 0. T. tj ';'crLI-,olo7ida1 Chan7es Ln t-- Testicle.- Durin e r . I I - .~ D-fatrcphy ani Reversibility of Chanrles -after --estoration of the Nutritiond Lovel of Fee-~Iin~,." Caryl 1','crl Lci, TbiliA -'Aatc, -e lical Inst, T"Wili.A, 11;53. (RZ.hBiol, No 7, Arx 55) Nov 55 - -)urvey of Scientific and Technical Dissertations SO: Sum. !;o. 704, 2 Defended at USSR Higher Educational institutions (16). :V Ab.3. ur Au t ho r, t I-tu Zub. +' ArAwttl-q. DISOP-SCS C6U!;e-'r' by Vtriwet; an(i ritckottsiae,, R-2 / a No. 16818 RzBiol., Noe 4~ 1051/1 Lotmsad-ze, 77-75or t V,-ter4yj~-.7*y Institute. of J L5-10tlyu Gruz. ZOO+. a, tie afflicticn of pe, f evpr was registerAd in 12 rayons of Georgia. kpplyi-c.;! the dry Rielkettsia burneti antigerl - - - 471 ;- rccm- :,x~-xainedl by ru&ni I-P -r 32 j It, 12C, ht~,i(j' o I-' at i; I ~' a C' --, 2 she'-:p Y)ercelt) pnuitivu rc.-,ults we-ce, O~tained. Azong Cattle Q-fever is --b- Served throughout the ontire year, but a mass -i'mfestation of the =Iiwan if, Ob.rerved In -TbUi3i, '1957, r)],~s of Farm Wmals e rilst--ases CauseLi 0! 7J.ruses R * and Rinket-csiae. Ito, 47 1959, N'(). vi'as Crl~, Pub. f';ecr'!!ia I;li(: enr--ier of Lbis discase - s d 'r ~ 17 -T~- - I ll~zu jy t1,;- q ricinus tick. 2/2 10 LOMSA=j R. 17.., Candidate Vet Sci (diss) -- "Material for the study of Q-feever in cattle under the conditions of the Georgian &SR." Kirovabad, 1959. 16 pp (Min Agric U991R, Azerb Agric Irmt), 150 copies (KL,I;o 2P, 1959, 119) LOMSADZE, XU. USSR/Iruclear Physics - Electrons, Pair Feb 4o, Theory Nuclear Phyeics - Neutrettos "The Pair Theory of Nuclear Forceo," Yu. Lomsqd7e, M. Markov, Moscov State U, Phys Inst Imeni P. N. Lebedev, Aced Sci USSR, ~ pp "Zhur Eksper I Teoret Fiz" Vol XIX, No P Shave that the neutrotto and antineutratto lead to different lava of reaction In the theory of pair nuclear forcen (apin of neutretto !P/49T76 PA32/49T76 I D171!"SAD. I",rl! . V . Atn7ic PhYsics Disgqrt,--' lon: a r r e ' i r~ T n ,,~ -ri:- Two I p n s -' n r.:: of ''e Tl-on-j of 7n-.,si-S Tr.~' r7erl 5 Anr 54 (V,rl--rn, yn Yof,~vn -!i r '"4 1p r"I S'): `)ITM 213, 2c 3on I(lq/. Category : USSR/Theoretical Physics - Quantum Electrodynamics B-5 Abs Jour : Ref Zhur - Fizikal No 2, 1957 No 2946 Author : Iomsad*;,e, Yu. M. Inst "Wore's-B-STIMUte, Academy of Sciences USSR Title : On the Singularity of the Electromagnetic Potential in the Higher Approximations of Pertuxbstion Theory. Orig Pub :Zh. eksperim. i teor. fiziki, 1956, 30, No 4, 707-712 Abstract :It is shown that the singularity at the origin in the potential of the electromagnetic interaction between electrons r4ptween an electron ard a positroa) does t,~t exceed (1/r) In r, re - gardless of the power n of the charge used in an arbitrarily high perturbation-theory appoximation (r is the three-dimensional dis- tance between particles). Thisresult theoretically allows the existence of bound stationary states of systems of two oppositely- charge particles, " actually observed in nature (hydrogen atom) positronium). The singularity at the origin In the interaction po- tential is determined by imvestigating the asymptotic behavior of the S matrix for the scattering at high momenta. The proof is Card 117 Category USSR/Theoretical Physics - Qaantum Electrodynamics B-5 Abs Jour Ref Zhur - Mika, No 2, 1957, No 2946 performed by using the mathematical induction method. It is shown that in the transition from any n1th approximation, reduced to its final form by the usual method of renormalization and regula-rization, to the next approximation, namely the (n +2) nd, after eliminating all the aingularities in the (n-t2)lnd approximation by using the same method, the asymptotic approach to zero of the scattering S-matrix is weakened by a factor not stronger than logarithmic. This, in conjunction with the fact that In the second approximation the potential behaves at the origin like 1/r is indeed a proof of the above basic premise stated by the author. It is nc*;ed that in the non-relativistic,say, fourth-order approximation,the singularity of the electromagnetic potential at the origin is strengthbned to 1/r3, and this leads to a certaLn difficulty. However, a consideration of the interaction potential at the origin (which is equivalent to a consideration of the S matrix for the scattering at large momenta) in the non-relativistic approximation (i.e., in the ap- proximation of small momenta) is internally self-contradictory. Card 2/2 Lomls~)Pz_&, Yu.~,). SUBJECT USSR / PHYSICS CARD 1 / 2 PA - 1646 AUTHOR LOMSADZE,JU.M. TITLE On the Potential of the Pair-Theories of Nuclear Forces. PERIODICAL Dokl.Akad.Nauk, 110, fasc.4, 545-548 (1956) Issued.- 12 / 1 9-5-r Here the problem of the elimination of singularities, which is new in the pair- theory, is solved. These singularities occur in the pair-theory (contrary to what is the case in the no-pair-theories) already in the first non-vanishing order. For-measons of concreteness a pseudoscalar coupling is assumed: x9(x) ' gl((x) 5 If (x) (x) (x). Here _y(x) and T (x) denote the operators of the,((opinorial) nucleon- and meson field respectively and it holds that Y (X) - y x) ~4; H denotes the hermetically conjugated operator. The character of singularity at zero of the interaction potential of two nucleons is determined in the most simple manner by investigating asymptotic behavior in the case of high-momenta of the S-matrix of the scattering of these nucleons. In the pair-theory no longer three, but four lines originate from each point of the diagram: two nucleon- and two meson lines (in each case one input- and one output line). Each point may be looked upon as a superposition of one point in each case of the nucleon- and meson line sequences. Other computation rules for the S-matrix were taken over without modifications by the pair-theory. To the scattering of two nucleons in the first non-vaniehing order (up to "commutation") there corresponds a univocal diagram. The element of the Dokl.Akad.Nauk, 110, fasc.4, 545-548 (1956) CARD 2 / 2 PA - 1646 corresponding S-matrix is reduced to a "relativistically covariant" form in the usual manner. All 1-integrals (which are in general divergent) are re- duced to a relativistically covariant form. A certain infinite part can and must be included within the constant X of a -contact term" having the form (x) r5 (x) For this purpose the additional term (X) - xg(x) + 6'k (X) ] 2 is introduced into the g V (X) Y HAMILTONIAN. Thereby a second diagram is added to those of the first non-van- ishing order. The sum of the elements of the S-matrix corresponding to these diagrams diverges only logarithmically. However, also this divergence can be included in a constant. Next, the definite form of the 3-matrix is given. The assuming of other types of coupling than the pseudoscalar one leads to the same results. Consideration of relativistic effects and of the recoil of nucleons does not do away with the shortcomings of the pair-theory of the interaction of spinor fields. Though the present theory describes real conditions also for the case of very small distances correctly# it is necessary that either the constants g and f for the coupling between nucleon- and meson field be equal to zero, or the contradiction between theory and reality is due to the shortcomings of the usual perturbation theory (of the first order). INSTITUTION: State University UZGOROD WI/58-59-10-21854 Translation from: Referativnyy Zhurnal )Fizika, 1959, Nr 10, p 19 (USSR) AUTHOR: Lomsadze, Yu.M. TITLE: A New Approach to the Problem of Constructing a Theory of Nonlocal Fields PERIODICAL% Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. i khim., 1957, Nr 1, pp 3 5 ABSTRACT: The author reports on an attempt to construct a theory of nonlocal fields by introducing the concept of "the function of the region" of four- dimensional space-time, as well as the derivative of such a function. In the quantum theory of the particle such an approach leads to a peculiar principle of 4ndeterminacy having the following form: 4S x 6 ya zc a t - A , where At is the time interval during which the coordinates of the particle can be measured with errors of x, ay, and '_~ z, while X 4 is a volume of the four-dimensional region. It is shown that no internal contradiction arises in the case of free particles Card 1/2 and quantum fields; but the simplest attempt to construct a theory of SOV/58-59-10-21854 A New Approach-to the Problem of Constructing a Theory of Nonlocal Fields Interacting quantum fields leads to the incompatibility of the equations of motion. However, it in pointed out that the S-matrix formally obtained from these equations nonetheless satisfies all the requirements usually made of such a matrix: invariance, unitarity, and causality. (Cf. RZhFiz, 1958, Nr 2, 2693, 2699). Yu.M. Lomsadze I,/ Card 2/2 SOV/58-59-10-21843 Translation from; Referativnyy Zhurnal., Fizika, 1959, Nr 10, p 17 (USSR) AUTHORt LoTnaadze, YU TITLE: A New Method of Solving Equations of Motion in Quantum Field Theory PERIODICAL: Dokl. I soobahch. Uzhgorodsk. un-t. Ser. fiz.-matem. I, khim., 1957, Nr 1, pp 23 - 25 ABSTRACT, The author reports on a new method of solving the Tomanaga-Schwinger equation by introducing two generalizations of the usual conception of "the sum of an Infinite series": the generalized sum and the I-sum (RZhFiz, 1957, Nr 9, 21881; 1958, Nr 2, 2693). The method is applied to pair theory, electrodynamics, and the PS(FV)-variant of pion theory. The so-called modified series which are obtained In all cases prove to be not only renormalizable, but apparently also (after carrying out the renormalization) absolutely convergent, at any rate in the event of great Card 1/2 momenta of "real" particles. It is noted that the possibility of the ~x 30'1/58-59-10-218143 A New Method of Solving Equations of Motion in Quantum Field Theory emergence in the S-matrix of new Infinities because of the additional complex poles arising in I-summation, can be fully eliminated through correct procedures of cal- culation. Yu.M. Lomsadze ~~/ Card 2/2 W-".! I L' t LOMSAiMX,.Iu.M.; MAKSIMOV, 13.1. Double -meson annihilation of an antiproton according to the theory of parity. Nauch. dokl. vys. skoly; fiz.-mat. nauk-i no.l: 80-83 '58. kMIRA 12:3) l.Uthgorodakiy gosudarstvennyy universitet. (Particles, Xlementary) ((b=tum theory) IDMSADZE, Yu.M. Significance and correctness of the modified excitation method in the quantum field theory. Izv. vva. ucheb. zav.; fiz. no.l: 88-96 158. (MIRA 12;8) l*Uzhgorodak17 gosuniveraltet, (Yield theory) SOV/58-59-10-21846 Translation from: ReferatIvnyy ZhumalFlzika, 1959, Nr 10, p 17 (USSR) AUTHOR: Lomsadze, Yu.M. TITLE: A Possibility of Treating Elementary Particles as Bound States PERIODICAL; Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. i khtm., 1958, Nr 2, pp 4 - 6 ABSTRACT: On the basis of the most general considerations, it is pointed out that in the framework of the modified method of perturbations (of, e.g. abstract 21842) between the nucleon and the pion, there must exist a speoific interaction capable of leading to a strongly bound state in the PS(PS)-variant, as well as in the PS(FV)-variant, of the theory. This provides a ground for the assumption that involves treating hyperona as strongly bound states between nucleons and pions. Yu.M. Lomsadze Card 1/1 SOV/58-59-10-21847 Translation from: Referativnyy Zhurnal,,Flzika, 1958, Nr 10, P 17 (U33R) AUTHOR3.- Lend'yel, V.I.,-Lomse --AZO, TITLE: Application of the Modified Method of Perturbations to N-P-3cattering Using the PS(PS)-Varlant PERIODICAL: Dokl. I soobahch. Uzhgorodak. un-ta, 1958, Nr 2, pp 7 - 9 AWTRACT; The presence of neutron-proton scattering was calculated using the symmetrical PS(PS)-variant of pion theory in a first non-vanishing approximation of the modified method of perturbations (cf. e.g. abstract 21842). Adopting the modified method of perturbations apparently some- what improves the agreement between theory and experiment In comparison with the usual method of perturbations, although it is not possible to achieve complete agreement. If it be assumed that the coupling between the nucleon and pion fields is only effected through the PS(PS)-variant, the modified method leads to a resonance peak of the cross section in the vicinity of -J4 Bev energy in the laboratory system. Card 1/1 Yu.M. Lomsadze 67181 SOY/58-59-7-14826 Translation from; Referativnyy Zhurnal Fizika, 1959, Nr 7, p 36 (USSR) AUTHORS: Krivskiy, I.Yu., Lend'yel, V.I., Lomsadze Yu.M. TIM:: On a Possible Explanation of N-P Scattering PERIODICAL: Dokl. I soobshch. Uzhgorodsk. un-t 1958, Nr 2, pp 11 - lit ABSTRACT: It is suggested that an ordinary 21on beam contains, in addition to the usual pseudo-scalar plons, an admixture of scalar pions that form ~an-isotopic sextet together with the former. Using the Hamiltonian of interaction H(x) - Ig + 9 T I 5 the neutron-proton scattering process (the nucleons not being polarized) is then calculated by the usual method of perturbations. In the case of the constants g - 7.6 and g' - 0.96, it is possible to achieve sufficient- ly satisfactory agreement between the magnitudes of the differential, as well as total effective cross sections and the experiments In a wide energy range from - 100 to - 600 mev, If it can be admitted that the C"'Vd principle of the independence of nuclear forces is violated while re- Card 112 taining their symmetry at high energies, and if one assumes that T 3 Translation from: Referativnyy Zhurnal Fizika, 1(,',59, fir 7, p 46 (USSR) AUTHORS- Krivskly, I.Yu., Lomsadze, Yu.M. TITLE:. On Beta Interaction Betwe'6n the--Electron and the Proton. 1. PERIODICAL: Dokl. I soobshch. Uzhgorodsk. un-ta, 1958, Nr 2, pp 31 - 33 ABSTRACT:. The authors suggest that a study of the e + p --). n + v process may provide an answer to the question as to which of the 20 admissible variants of beta decay theory are actually realized In nature. The authors cite the results of calculating the above-mentioned process for a number of variants of beta decay theory. Yu.M. Lomsadze Card 1/1 t/. 6,F / 0 S-3071/58-55 -7 -14 827 t/. 9 5- 00 Translation from: Referativnyy Zhurnal Fizika, 1959, Nr 7, p 36 (USSR) AUTHORS: Krivskiy, I.Yu., Lendlyel, V.I., Lomsadze, Yu.V, %~ 1~ - TIM ing in j( -P Scatter the Light of the ion oublet Hypothesis PERIODICAL: Dokl. i soobshch, Uzhgorodsk, un-t 1958, Nr 2, pp 39 - 42 ABSTRACT: The process of V +-p scattering is examined on the basis of the hypothesis contained in the authors' -preceding study (abs. 14826) but with a substitution of the PS(PS) variant for the PS(FV) variant without affecting the results of that study. It is shown that it Is possible to achieve agreement between theory and experiment up to energies of 1'-1 200 mev in the framework of the usual method of perturbations if It be assumed that the scalar pions in the beam account for approximately 1 or 2% of the total. In this case the coupling constant in the PS(FV) variant corresponds exactly to the constant obtained for the P5(PS) variant In the authors' preceding study an the basis of examining nucleon-nucleon scatterings (with allowance for the equivalence theorem). Card 1/1 Yu.M. Lomsadze 67.182 Translation from: Referativnyy Zhurnal Fizika, 1959, Nr 7, p 36 - 37 (USSR) AUTHORS: Krivskiy, I.Yu., Lend'yel, V.I., Lomsad-ze-, YuX TITLE: Some Considerations Concerning Pion ParttyO PERIODICAL: Dokl. i soobshch. Uzhgorodsk, un-t, 1958, Nr 2, pp 113 - 46 ABSTRACT: Since the hypothesis of the parity pion doublet (abs. 14826, 14827) leads to satisfactory agreement between theory and experiment (mainly in connection with nucleon-nucleon scattering), the authors proceed to an analysis of the basic experimental and theoretical data available at the present time. These data lead the authors to conclude that pions have a pseudo-scalar character. The authors examine data con- cerning neutral pion decay into two gamma quanta, negative pion capture by the deuteron, '7( --p scattering entailing charge-exchange, and the photoproduction of pions; they conclude that these data in principle do not contradict the hypothesis of the parity pion doublet. The authors suggest a number of experiments for the direct verification of the existence of a slight admixture of scalar, mesons In the pion beam. Card 1/1 Yu.M. Lomsadze d 0 od Z 42 ~ I -- i , , i %; I I V 0 8~02 po q v s Rr- 0, Ad .12 do B.., r, 0 r J53 001 OC . t o;j pil G 00 001 "C.94 t C., 45 00 Ic . A aq a c t z i0 e 9 0 0.9 1 .08 IS t An ni j5 *.- S. I ;- od Id ag 44 1 to Jai 24(5) AUTHOR: -Lomsadzej Yu.M. SOV/139-59--i-15/31+ TITLE: On the Principle and Validity of the 111,11odified" Perturbation Method in the Theory of Quantized Fields (0 sushchnosti i korrelctnosti modifitsiro,rannogo metoda vozmushcheniy v teoril kvantovannykh poley.) PERIODICAL: Izvestiya Vysshikh Uchebnykh Zavedeniyj Fizika, 1959, Nr 1, pp 88-96 (USSR) ABSTRACT: The principle of the "modified" method is to replace the interaction representation of the Tomonoga-Schwinger theory by a representation defined by; A S(g) = T exp i ~ d1+ ~c H (Nd (2) Here d(g) is the new "modified" operator, replacing the old interaction operator, T is the 'chronological SYmboll~ H is the Hamiltonian of the system in 4--spaee and all other symbols have their standard significance.. The conventional units h/27T = c = 1A are adopted. One useful manipulative proparty of S(g) is that it transforms a funotion of the remote past into one of the Card 1/3 remote future according to. 1) [4- cc] = 2(g) 't L- col 'aUV/139-59-1-15/34 On the Principle and Validity of "-.he "Modtfied" P-.~rturbation Method in the Theory of Quantized Fields The method is applied tD general quantized field thecry and is shovm to have certain advantages over the intea- action reprosentation in regard. t~) manifest covarianop. and renormalization. renoTinalization difflcultie~: wi.t.1) integration path!i deft-Iiined to infirity aro ellminated,,, sin,~--o such paths aro firlite in the new representation. The validity of the method, while not rigorousl.y established., is shown "a be plausibte by dis(,-.,assing its application to the scattorIng inatrix arid showing how the vai-ious steps in the prac~tical computation of ttils mati,ix would have their counterparts in the well.- est abli shed intorartion regesentation, Finally the method is applied to the PS PS) and PS(PV) variants of pion theory; the results obtained are corialstert with the experimental e-jidence Card 2/3 for the ~-)f validity of the two theories,, A,Anowledgemenus are made "-I-) Pi-:)fessor SOV/139-59-1-15/34 On the Principle and Validity of the "Modified" Perturbation Method in the Theory of Quantized Fields D.D. Ivanenko, A.M. Brodskiy, G.A. Sokolik, Yu.A. Gollfand, B.V. Silin, V.Ya. Faynberg and Ye.S. Fradkin, for their advice. There are 15 references, 13 of which are Soviet and 2 Italian. ASSOCIATION: Uzhgorodskiy Gosuniversitet (Uzhgorod State University) SUBMITTED: August 9, 1958; After revision, December 14, 1958 Card 3/3 IOMSADZX Tu R - LEND'YEL, V-I- LLendliel, V.I.J; KRIVSKIT. I.Tu. t"', yva kyi, I.IU.J Scattering of a neutron on a proton from the point of viev of a 7 -meson pair doublet. Ukr. fiz. shur. 4 no.1:123-125 Ja-7 159. (MIRA 12:6) loUzhgorodskiy gosudarstvennyy universitet. (Neutrons--Scattering) (Protons) (Mesons) LOMSADZI, Yu.H.; LUMMM, V.I.; KRIVSKIY, I-Tu. rroblam of the scattering of nucleons on nucleons at high energies. Izv. vys. ucheb. zav.; fiz. no.4:123-129 '59. OIIRA 13:3) l.Uzhgorodakiy gosuniversitat. (Nucleons-Scattering) LBVASHNV, Anatoliy Yev&,onlyevich;--1014SAD'Zg,__Yu.H., dotsonto otv,red.; GAVRILOV, V.D., red.; MORO%,, S.K,, [Elementary particles] Xlementaraye chostitay. liev, Izd-vo Kievokogo univ. Pt.l. 1960. 1)5 (KIFLA 14:2) (Particles (Nuclear physlcZ5 30602 AUTHORi Tl=-. Lomsadze Yu, M.- 86/058/6 1/000/'uud/002-/044 A058/A1Ol On a possible theory of the quantum-,nfield of probability amplitude" PERIODICAL- Referativnyy zhurnal, Fizika, no. 8, 1961, 20, abstract 8A214 ("Dokl.- I soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", no. 3, 196o, 11-14) TEM The theory of the quantum "field of probability amplitude" (qpPA) considers the SchrSdinger equation of quantum field theory Ps the "classical" bate) 0 (N, t)'of a field equation of the probability amplitude (or vector of st system of quantum fields. A commutation relatIon Is established between the classical functional t (N,t) and the canonieally conjugate field n (N,t)'with the introduction of a now constant 1, which here plays the role of Planck'$- constant. An equation of.motion is derived for vector of state-of QFFA Y MN),t)-in some special Z representation. For'solving the equation of motion one can-usa a-perturbation method analogous to'the conventional method. The entire discussion Is cast In nonrelativistic form. The author points out Card 1/2 30602 S/058/61/000/008/002/044 On a possible theory of the quantum ... A058/A101 the mathematical difficulties associated with the necessity of introducing a supercontinuous integral from the functional of the funetional. V. Lendlyel [Abstracter's note: Complete translation] Card P-/2 3/058/61/000,/008/003/044 A058/A101 ~V 0 AUTHOR- Lomeadze, Yu. M. 2TMEi The gist of the theory of the rquantum "field of probability ampli- tude" PERIODICAL: Referativnyy zhurnal, Fizika, no, F3, 1961, 20, &bstraot BA215 ("Dokl. I. soobshoh. Uzhgorodsk. ui-t. Ser. fiz.-matem. n,", no. 3, 1,060, 15-17) TM: 'The author disoussex-the-physical m9aning of the vector of state Y (Z (N) , t) `(of. abstract 8A214) of the qu&ntum "field of probability amplitude'! lyo(Z(N), t) should be understood as-the amplitude of the probability of finding ident to measurement of a system at time t a giv*n probability dlatftbution Z(N) in terms of the filling functions N. Inasmuoh as the quantization or the "probability amplitude field" is offooted with the aid of antibommutators and the filling,numbers can assume only the valuss 0 &nd 1, the given veotor of state can be interpreted In the same sense as thn vaotor of state of conventional quantum field theory. V. Lend'yel, Abstracter's notet Complete translation] Card '1/1 S/058/61/000/010/OOV10() AOO1/A1O1 AUTHOR- Lomsadze, Yu. M. TIME: Problems of I-summation of a series in the perturbation method PERIODICAL: Referativnyy zhurnal. Fizlka, no. 10, 1961, 24, abstract IOA255 (V sb. "Probl. sovrem. teorii elementarn. chastits", no. 2, Uzh- gorod, 1959, 182-19*, Engl. summary) TEXT: Problems are discussed which are related to the applicatf'on of an approximate method, "modified perturbation method proposed by the author (RZh Fiz, 1957, no. 9, 21881; 1958, no. 2, 2693; 1959, no ' 10, 21842; 1960, no. 2 2702), to renormalizable versions of the quantum field theory, iri particular to the PS (PS) variant of the meson theory. [Abstracter.'s note: Complete translation] V/ Card 1/1 S/058/61/000/010/005/100 A001/A101 AUTHORS: Lomaadze, Yu. M., Lend'yel, V. I., KrIvskiy, 1. Yu. TITLE- On the problem of nucleon-nucleon scattering at high energies PERIODICAL: Referativnyy zhurnal. Fizika, no. 10, 1961, 24-25, abstract 10A256 (V ab. "Probl. savrem. teoril elementarn. chastits", no. 2, Uzh- gorod, 1959, 195-210, Engl. summary) TEXT- The consequences of the hypothesis on existence of a scalar t-mesol', triplet In addition to pseudosealar-mesons, are-studled in detail. It is shown that an assumption of the 'presence in & 1-moson beam of 1-2% admixture of scalar T-mesona does not contradict available experimental data; moreover, it is possible, even in the framework of the perturbation method, to obtain oharac- teristlos of a number of processes concordant with experiments. In pe.-ticular, 3 the followiiig results are obtained on the'j~asis of this bypothesis.- 1) correct ratio of cross sections for processes of 1-meson scattering on deutrons, 2) good value for the Panovsky,ratio, 3) correct ratio of oross sections for photoproduction processes, eta. Experiments are proposed for detecting scalar -je-mesons. Considerations are presented an violation of charge independence of Card 1/2 S/058/61/000/010/005/100 On the problem of nucleon-nucleon scattering ... AOO1/A1O1 nuclear forces at high energies. Total and differential cross sections of N11- soattering (calculated to the first approximation of the perturbation theory) A~ agree well with experiments In the 100 - 600 Mev range. V. Lendlyel [Abstracter's note: Complete translation] Card 2/2 S/058/61/000/010/006/100 A001/A101 AUTHORS: Lomsadze, Yu. M., Lend'yel, V. I., Krivskly, 1. Yu., FuBhchich, V.I., L. P,, Ernst, B. M. TITLE: On applying modified perturbation method to interpretation of nuclean scattering PERIODICAL: Referativnyy zhurnal. Fizika, no. 10, 1961, 25, abstract 10A257 (V sb. "Probl. sovrem. teorii elementarn. chastits", no. 2, Uzh- gorod, 1959, 211-216, Mngl. summary) TEXT: Differential effective cross sections for all types of NN-scatter- Ing have been determined in the first non-vanishing approximation of the modified perturbation method (consistiziF in a special summation over all simplest barion loops inserted Into Internal t-meson lines of the Feynman 2nd-order graphs); assumptions are made on existence of scalar t-mesons and violation of charge Independence of nuclear forces at high energies. The cross sections calculated for the range 100 - 600 Mev agree sufficiently well with experimental data. Thereby the refiults of the preceding study (abstract IOA256) are additionally substantiated. An interesting possibility is discusaed that at sufficiently Card 1/2 On applying modified perturbation ... S/058/61/000/010/006/100 AOOI/AIOI great coupling oonstant, the scattering cross seation may be completely in- dependent of its value. [Abstracter"s note: Complete translation] .W.- Card 212 ~ ~/ tl,~-o 0 C,q AUTHOR: Lomsadze, Yu.M. UILE: On calculation techniques in a new mathf-;,i ct' "stvrng" the theory of FERIODICALI. ReferativnTy zhurnal, Finka, n~,.. 6, 1961, (D,-,~', ,ii, i soobshch. lJzhgcrsd-,k Ser. 21~ - Y)) TEXT - The author devp1cpa a method of cai~~Ala*.Inv !.Y,,i mali ix the S-ra,vix In pre-zentatlon In. whl-h *he ln~eractlon of IPIL!j-z~ t!' 11-- diagonal. The meth3d c,=31siz in expanding the S-matrix in A- ~~-ries in --f JL3 the energy operator cf' llh,~ free me~-on fleld ( 'this expa-n5icn cn,----ill th,~ 2expansion of the matrix element. of a ~r-anstticn In powei,6 of ant). As an example, the au",,.rr /S , where g is coupling c!ms tion of a harmonic oscillator being in a field of ext~lrnal rorces. K.T.-M, [Abstrac-'ev's note: Corriplete translation] Card 1/1 SIO"1816 1/000/O061/k7,G6/(x'-- -3 AW I /Al 0 1 At MHORS: Lend'yel, V.I., Lom.3adze, Yu.M., Ernst, B.M. TIME: The application of the "strong" coupling methoi to a simplest mcdel PERIODICAL: Referativnyy zhurnal. Fizika, n% 6, 1961,30, abstrac-~ EA315 ("D~~ki, I soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1960, r0. 3, 31- 32) TMT: To check the relativiptic method of strcng coupling In :he field theory (abstract 6A314), the author ccnsiders an example, the equation of a harmo- nic oscillator placed Into a field cf ex-.ernal forces. 11 is shswn that already the first approximation, In a case of a strong external field, makee !t pcEs!ble to find the wave function at t - 0 with a very high precision. K.T.-M. [Abstracter's note? Complete translation] Card 1/1 LWADZEq Yu.M.; LEND'YEL# V.I. Elendlielg V.I.]; ERNST9 B.M. Parity doublet of T17-sooons and Chev's- approximation metlod. Ukr. fiz. zhur. 5 no.6:773-776 N-D 160 (MIRA 14:3) 1/ 1. Uzhgorodskiy gosudar tvennyy universitet. (M:Sons) KRIVSKIYq I. Yu. (Kryvelkyip I. ITJ.); IDMA.DZEp FUSHCHICH, V.I.; KHIMICHt I.V. Problem of theradiative decay of a Tl-seson. Mr. fiz. zhur. 5 no.6.-777-780 N-D 160. (141RA 140) 1. Uzhgorodaki7 gosudarstvennyy universitet. (He sons-Decay) LOMSADZEp lu.M.j LEND'YEL# V.I. [Loandlielg VeLl All-Union Conference on Elementary Particle Theory, Ukr. fiz. zhur. no.6t865-868 F-D 160. (KIRA 24:3) (Particles(Nuelpar physics)-Congresses) 'N' IMSADZI, Tu.M.; LINDIRL, VtI.; IHNST, B.M. Behavior of the total arose sections of TF-scattering at high energies. Zhur, eksp. i teor. fiz. 39 no.4:1154-1155 0 160. (MM 13:11) 1. Uzhgorodskiy gosudarstyenny7 universitet. (Protons--Scattering) S/058/61/OW/0 11/001/025 0 0 A058/AlOl AUTHOR: Lomsadze, Yu.M. TITLE: Concerning possible variants of (~_decay theory PERIODICAL: Referativnyy zhurnal. Fizika, no. 11, 1961, 25, abstract 11A274 (v sb. "Probl. sovrem. teorii elementarn. chastits". no. 2, Uzhgorod, 1959, 69 - 79, English summary) TME: This is a conference report (RzhFiz, 1961, 7AI97). The author exami- nes the feasibility of applying a relativistically invariant renorma~lzation and regularization method to pseudo-scalar and pseudo-vector variants of ~ -decay theory, 11' ----.~,e + v and irr - -, e + v + y processes are investigated within the framework of interaction variants . [Abstracter's note: Complete translation] Card 1/1 3/058/61/000/010/003/100 A001/A101 AUTHORS- TITLE- Lomsadze, Yu. M., Maksimov, B. 1. Application of Schwinger's variational method to the pair theory PERIODICAL: Referativnyy zhurnal. Plzika, no. 10, 1961, 24, abstract IOA254 (V sb. "Probl. sovrem. teorli elementarn. chastits", no. 2, Uzh- gorod, 1959, 30-36, Engl. summary) TM: In complete analogy with the known methods, a system of equations in variational derivatives has been derived for-the Green one-nucleon and one-meaon functions in the isotopically invariant version of the theory with Jr-meson pair coupling. This system, in view of its non-linearlty, can be solved only approxi- mately. The system of equations for vacuum functional has been also derived and solved in the form of iterate integral. V. Lend'yel [Abstracter's notei Complete translation] Card 1/1 L+~ (4 q oo AUTHOR: Lomsadze, Yu. M.- S/058/62/000/004/013/16Q Ao58/Alol TITLE., Notes on the theory of the quantized "probability-amplitude field" PERIODICAL: Referativnyy zhurnal, Fizika, no. 4, 1962, 37, abstract 4A293 ("Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1961, no. 4, 9 - 14) TEXT: The author examines the question of the physical meaning of the state vector In his proposed theory of the quantized "probability-amplitude field" (RZhFiz, 1961, 8A214 - 215). He indicates a relativintically Invariant formulation of his new theory. [Abstracter's note: Complete translation] Card 1/1 o s/b58/62/ooo/Oo4/Oi4/16o Ao58Alol AUTHORS: Krivskiy, I. Yu., Lomsadze, Yu. M., Khimich, I. V. TITLE: Concerning the correspondence principle in the theory of the quantized "probability-amplitude field" PERIODICAL: Referativnyy zhurnal, Fizika, no. 4, 1962, 37, abstract 4A294 ("Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1961 no. 4, 15 - 18) Tl,A'T: The authors prove a theorem of equivalence between the conventional quantum-field theory and the special case of their proposed theory in which the probability-amplitude field is being quantized (RZhFiz, 1961, 8A214 - 215)-. [Abstracter's note: Complete translation] Card 1/1 B/058/62/000/007/010/068 A0611AI01 AUTHORS: Lend'Yel, V. I., Lomsadze, Yu. M., Ernst, B. M. TITLE: Parametric correlation in the effective range theor-I using 14andellshtam's dizpersion relations PERIODICAL: Referativnyy zhurnal, Fizika, no. 7, 1962, 29, abstract 7A274 ("Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1961, no. 4, 19 - 21) MT: The authors proceeded from the analytic characteristics of the energy variable of the singlet amplitude of fixed angle p-p scattering, and used a new form of approximation of experimental data (in accordMice with the general scheme of Cini, Fubini, Stanghellini - RZhFiz, 1960, no. 4, 7765) to determine more accuratcly the coupling constant f2 which turned out to be somewhat less than the universally adopted value f2 _ 0.08. They also succeeded in determining the parameters of the effective range theory, and found them to be very near those specific to the Yukawa potential. V. Lendlyel [Abstracter's note: Complete translation] Card 1/1 AUTHOR; C 1/058/62/0GO/005/016/1 15 AGGI/A101 TITLE; On utilizing a possible analyticity of matrix elements in field coupling constant PE.KODICAL: ReferativnTj zhurnal, Fizika, no. 5, 1962, 34. abstract 5A316 ("Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1961, no. 4, 22-24) TE)`T: The autlior proposes an appoach to solving the problems of strong --nteractions. The method is based on the assumption that matrix elements In coupling constant g are analytical in the vicinity of g - 0. The author propose5 to utilize "he solution of perturbation theory and to construct its analytical continuation, by means of Mittag-Lefler expansion, in the region of large physical values of interaction constant. A. Brodskiy rAbstracter's note: Complete translation] Card 1/1 0 3/058/6Z/000/004/015,~160 ,,058/,,,lol AU711ORS: Khimich, I. V., Lomsadze, Yu. M., Krivskiy, I. Yu. TITILE: U(x)-uN(k) representations in quantum-field theory PORIODICAL: Referativnyy zhurnal, Fizika, no. 4, 1962, 37, abstract 4A295 (I'Dokl. i soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1961, no. 4, 25 - 27) TEXT: The authors establish a connection between functionals in different representations of the new strong-coupling method proposed earlier by one of the authors (RZhPiz, 1961, IIA247). [Abstracter's note: Complete translation] Card 1/1 S/0-58/62/000/005/015/119 Aool/Alol A U 'iil 0 RSL Xrivskiy, I. Yu., Fhimich, I. V. TITLE: Some aspects of the new method of "strong" coupling in the theory of quantized fields PERIODICAL: Referativnyy zhurnal, Fizika, no. 5, 1962, 34, abstract 5M'j',15 ("Dokl. 1 soobshch. Uzhgorodsk. un-t. Ser. fiz.-matem. n.", 1%1, no. 4, 28-.32) The method of strong coupling suggested earlier by one of the authors (RZhFiz. 1961, 11A247) is discussed. The possibility is considered of a consequent calculation, within the framework of this method, of Green's functions, in particular, Green's function of a single particle. FAbstracter's note; Complete translation] Card 1/1 S/044/62/000/004/076/099 C111/G222 AUTHORSt Kuahtan, V.I., Lomsadze, Yu.Y., Shuba, TITLE: On the theory of generalized functionals PERIODICALs Referativnyy zhurnal, Matematika, no. 4, 1962, 87, Tjzhj;orodsk.'un-t. ("Dokl. i ooobshch. Ser. abstract 4B412. fiz.-natem. n.", 1961, no. 4, 116 - 121) TEXT: In quantun-field theory there exist so-called sin6ular functionals, e.g. the I -functional S 1-1;(X) - I (x)l aith the property that 0 ~-""(X) 137 r";(X) - it (x) J 0 if the functional (continuous) integration extends over an oper, set of functions containing IN 0(x). A definition of sin.-ular functionals is given Ln the following way (as in the theory of generalized functions): The singular functional (or, as the author terms it, hyperfunctional) is a Card 1/2 On the theory of generalized functionals S-5/044/62/0-0/004/07'/099 . co C1II/C222 linear continuous functional over the space of basis functionals (the infinitely often differentiable and finitle functionals with natural ~OPGIOCA. The support of the sinuular functicnals is defined, and a procedure is developed to regularize divergent functional integrals in which the functional in the integrand has in discrete "points,' singularities of the type of a "pole". FAbstracter's note t Complete translation.41 Card 2/2 MARKS, G.[Marx, Gyorgy]j doktor fiz. nauki TOT, Bela(Toth,Bela, translator]; ERDI, K red.- JPMZADZE Yu.M.)~~~hmy, red. perevoda; KHUT, Etifut, red. [Introduction to quantum mechanics) Vvedenie v kvantovuiu mekhaniku. Perer. i dop. izd. Budapost, Izd-vo Akad. nauk Vengriip 1962. 346 p. Translated from the Hu'sigarian., (MIRA 15:7) 1, Budapeshtskly universitet (for Marks). 2. Uzbgorodskiy gosudarstvennyy universitet (for Lomzadze). (Quantum theory) 11 S/105/C2/007/009/002/00(i Y 0 D234/D3Ucj AUTEORS: Khimich, I.V., Lomsadze, Yu.11. and Kryvc;'I,-yy, 1.Yu. T IT L IE: Some physical consequences o-.12' the theory of quantized ficld of the probability amplitude PZRIODICAL: Uhrayins,hyy fi--yclinyy zhurnal, v. 7, no. 9, 1962, 967-973 T EXT The authors refer to their I)rcviou-- papers where Lhe above theovi was formulated (Dohlady i soobahcheniya Uzhgorod- --'.o,yo u-niversite-ta, ocriya fiz.-nat. nauk, no. 4, 15, 1961; Yu.M. Lom-adzc, as abovP, no. 3, 11, 1960, no. 4*, 9, 1961, Nucl. PhyS. 36, 1962) and derive an exprcssion connecting the proMbility of tran5i- tion from the initial to the final state, (lefincd by this thcory, with the Qxperimentally obscrvcd probability. It is --tated that the matri:: element in the new theory can be obtaineO. irith any approxima- 'tion in closed -~27orm, according to' the perturbation method dcvclo-)cd in the papers quoted -j,:)ovc. The nc,;,- constaut I can have any value. T'lic authors quote the expressions for t1he matrix element in the case Gard 1/2 L-4/10 5/62/007/0 0 9/0 02/00 6 Some physical con-'equcnccr, D234/0303 of 1 2, in the Eirn't a-CAL sscco-nrl -I?,-)rO=I;L,,atio-n. Thcy concluclc that in thc i,.;-w thcory han no ade--itional difficuLtics ill m the umial quantized, 1-iclcl theory. if thc. errors in comparison , J. th I j. dctervAning, tac initial momenta of tlic Tparticles are sufficic-atly omall, the cf-;cc'L-ive cross section given by the rm., theory for any proccss is the sa,.:ic an in tl-..c-, imital theory, up to the second appro.,:- /0 imatiou (for I - 2). It. is lou-,41 that :~or finC.-in'-, 1 o,?ccial mc,ats Lire nocco-Iciry, ill ;Aiich l.n(-. initial staLc 0-1Z t1he syolccla would contain suZ-4':iciciitl,,-r distant -uiomcut-a. The basIc ide.1s tv-! basis ojE the iiew theory are An es.-c.,.'L:ial fcaturc of the liew thcor-,, is sta;:cd to I)c the f~ict -4-14at it a~,Iy dCr~~ C Of I U1 c accuracy in mcarjurin,r' the com.,plete sot of physical quantitics rio absolutely exact measurement. The authors c;~~-)rcss their gr.,ti- tudc to Ya.A'j,. "'morody-n-s'hyy, 3.L. Yoffc, Il.l. Podhorctolkyy and i,.D. Tolstoy for discussion. AS 3 C C 12xT 10 1 iUzhhorods1hyy dcr7,hu-nivcrsytct (Uzhhorod State Uni- vcrsity) 3U.M."ITTED: January 20, 1962 Card 2/2 S/056/62/043/003/036/063 B108/B102 AUTHORS: Lendlyel, V. I., 4omsaaze, Yu. Lt., Ernst, B. 14. TITLE: A more exact determination of parameters of the effective radius theory with the aid of Mandeletam's dispersion relations PERIODICAL: Zhurnal ekoperimentallnoy i teoreticheekoy fiziki, v- 43, no. 3(9), 1962, 974 - 976 TEXT; On the basis of the Mandelstam dispersion representation for scalar NN-scattering amplitudes, M. Cini et al. (.Phyu. Rev., 114, 1633 1959) have proposed a function F(6j) which makes it possible to dotermine the coupling constant f 2 by extrapolation from the r6gion (,)~,O to the non-physical point W = -112. (z is the square momentum of the nucleon. To approach that pole the authors suggest an "inverse" polynomial of the form w A 4 A F(,.)) + A F 2(w) + A F3(w) + At the non-physical 0 1 2 3 point -1/2, the function F(-1/2) - -1/ 2. Extrapolation df experi- mental data on low-energy pp-ocattering distribut.ion led to the coupling Card 11/2 S/056j62/043/003/036/063 A more exact determination of... BIOB/B102 2 constant f . 0.058 4 0.005. The following parameters of the effective radius theory were calculated; aequiv " -17.6*10-13 cm, r = 2.80-10-13c1-4 P = 0.045, 0 - 0.0127. These numerical values indicate that the nucleon interaction potential at low energies is a Yukawa, type potential. There is 1 table. I ASSOC~ TION: Uzhgorodskiy gosudarstvennyy universitet (Uzhgorod State .University) 3'U,Bj.IITTED March 29, 1962 Card 2/2 LQ!t!ADZE, Yu.14.; LENDOYEL, V.I.; KRIVSKIY, I.Yu. [Kryvslkyi, LIU.] =C;Hp I.V. Third All-Union Confer-ince on the Theory of Elementary Particles. Ukr.fiz.zhur. 7 no.4:4A8-454 AP 162. (MIFLA 15:8) (Particles (Nuclear physics)) 8/88IJ57/000/001/001/013 A066/A126 AUTHOR& Lomoadze. Yu. M. TITLEs 4uantization of "free" fields In the generalized quantum theory SOURCEI Uzhgorod. Universitst. Nekotoryye problemy sovremennoy fIsIkI yadra I elementarnykh chaatital abornik otatoyl no. I# i957t 6 - 13 TEXTt In a previous work (Yu* Mo Lomeadses Nauohnyye sapiski Vsk- gorodskogo universitetat v. 189 P- 93 0957) the author d9veloped the fundamentals of a generalized theory for a "freem quantized spinor particle and a "free" classical electromagnetic field. The theory Is based on the assumption that,the conceptiona,of "wave function" wA "field" refer not only -to -the point xis, in t a space-time continuum but also to a region O'therein with the volume A. is designated elementary length. These fields are now quantized in a relativistically covarlant manner. For the purpose of quantizing the free electromagn*tia fields Card 1/2 8/861 57/000/001/001/013 Quantization of 11free".fields In the A066YA126 iteoperator in the Heisenberg or interaction representation in deft*ed by a commutative relation, whereas the "free" spinor field is quantized with the aid of an anticommutative relation. Finally, the author coasi4kM the possibility 'of developing a generalizea, rtlativistically oovarisnt~ theory of interadtion between quantized fields* It to stated that no diffioultiec are encountered with a quantized particle interacting with a olaosioga electromagnetic fieldy not even in the similar oasq of a wA*j6- electron systems The interaction of a sulti-electron systin with a quan- tized electromagnetic field is,j howeverp.problematice .SUBMITTEDs October 149 1956 Card 2/2 S/88 57/000/001/002/013 A066YA126 AUTHORSt Lomsadze, Yu. M., Maksimov, B. I. TITLEi ~n idea of developing a non-local field theory SOURCEI Uzhgorod. Uni'versitet. Nektoryye problemy sovremennoy fiziki yadra i elementarnykh chastital sbornik statey, no. 1, 1957, 14 - 16 TEXT.- The hitherto vain attempt to develop a non-local field theory free from inherent contradictions is attributed to the fact that the very conception of non-locality is incompatible with the ordinary Cauchy problem. The equation of motion for a non-local field is chosen in such a manner that the quantities which determine the state of the field and which are given on a discrete set of points or regions within the space- -time continuum can be determined uniquely. The equation of motion reads -\/I (X) . ~ S (x - Xi) IV (Xi) (2) on the right-hand aide of which summation is taken over all tile points Card 1/2 5/881/57/000/001/002/013 An idea of developing a non-local ..... A066/AI26 of the chosen set. A detailed analysis of the equation reveals that the latter results in inconsistencieu because tile group property is disturbed. SUBMITTED z October 14, 1956 Card 2/2 S/881/57/000/001/003/Gl3 Ao66/A126 A1JT11ORt Lomoadze. Yu. 14. TITLE: An effective method of calculating the S-matrix in quantum-field theory. Part II SOURCEt Uzhgorod. Univeraitet. Nekotoryye problemy aovremennoy fiziki yadra i elementarnykh chastits; sbornik statey, no. 1, 1957, 19 - 38 TLXT: Part I of the present work (Yu. M. Lomsadze. Nauchnyye zapiski Uzht-,orodskogo univerniteta, v. 10, 151 (1957)) presented a method of solving the quantized equation of motion (Tomonaga-3chwinger equation). The formalism developed there allows the function f (g, p) to be expanded in a greneralized MacLaurin series with respect to g. For g - 0 the ex- pansion possesses derivatives with respect to g of any order. The expan- sion is intended to lead to an initial function f (g, p) that fulfills comprehensive prerequisites, of which the most important is that f (g, P) be analytic. This can be achieved by introducing a "generalized sum" and Card 1/2 S/881/57/000/001/005/013 An effective method of calculatine Ao66/A126 and an III-sum". The aim of present work is to prove the validity and applicability of the mathematical forma3ism. employed in the previous paper and to illustrate it by a simple example. The modified series is shown to be both renormalizable and convergent in the ordinary sense of the term. If real particles have large momenta, then the modified series will be absolutely convergent. There are 13 figures. SUBMITTED- October 7, 1956 Card 2/2 S/881/57/000/001/004/0~13 A0661AI26 AUTHOR: -Lomsaaze, Yu. 1.I., Maksimov, B. 1. TITLE: Some preliminary calculations in pair theory SOURCEz Uzhgorod. Univeruitet. Nekotoryye problemy navremennoy fiziki yadra i elementarnykh chaotita; abornik statey, no. 1, 1957, 39 - 54 TEXT: Part Is The scattering of(II - and,r4-mesons from a nucleon. On the basis of the pair theory, the cross sections for the scattering of pions and muons from a nucleon are calculated in first non-vanishing approximation of a perturbational method developed by the first-mentioned author in previous papers (Nauchnyye zapiski Uzligorodskogo universiteta, v. 18, P- 155 (1957); Nekotoryye problemy sovremennoy fiziki yadra i elementarnykh chnstits; obornik statey, no. 1, 1957, P. 19)'. A compari- son between the differential croau sectiono obtained by the modified per- turbational method and thooe obtained in the usual first non-vanishing approximation indicates that almost the sarae results are achieved with Card 1/2 0/881/57/000/001/004/013 Some preliminary calculations in pair theory Ao66/A126 muon energica of up to 155 Mlev and with much higher pion energieo. - Part II: The scattering of an antinucleon from a nucleon inT-mecon pair theory. The same method was used here to calculate the cross section for the scattering of an antinucleon from it nucleon. The differential cross section recorded for the scatterine of an antiproton by a proton exhibits a resonance peak at a definite energy of the antiproton. A similar maxi- mum was obaerved in Part I. These maxima permit a qualitative interpreta- tion of the multiple production of pions. - Part III: The-application of Schwinger's variational methodta the pair theory. Assuming that the Green function of a meson is independent of the mesonic field averagcd over the vacuum operator, and that it is a given function of the coordi- nates, the authors consider the system of equations derived by them in one of the above-mentioned publications for the Green function of a nucleon within the framework of the pion pair theory. From the Green function of a nucleon within a classical mesonic field they derive an integral func- tional for the Green function of a nucleon in a quantized mesonic field. There are 4 figures. SUB14ITTED: October 16, 1956 Card 2/2 S/881 57/000/001/01110!3 A066YA126 AUTHORt Lomsadze, ju. M*. TITLEt The relation between intersotion potential &M 8-"triX SOURCEt Uzhgorod4 Universitet. Kokotoryye problemy movromennoy fialki yadra i alementarnykh ohastits; abornik statey, no. 1, 1957, M - i1o TEXTs When t - t' the one-dimonsional Dirac-Pok-Podolsky equation (Phys. Ze. d. Sowjetunion, 2, 466 (1932)) assumes the form MM a M MM d M 0) Y, T, --Wj-cj. + TI'xo+ -~ Yj rx7- + T4 19i,+Y4 DI (x) +(5) I M T, D X. t) The nuoleon-nucloon interaction potential is regarded as an operutor that does not act on the dynamic field variables and by means of which one obtains Card 1,13 The relation between interaction IM 0) a (1) 0 (2) XO+ V1. n 4 Y1 + T4 "0 +Y1 Y' + *4 (1) D,(x) (2 ) D-(xf) if the terms,74 4 S/881/57/000/0010, 1/u I A066/Al2b '08 In Equation (5) are replaced by it. It is demonstrated that with an accuracy up to the first non-vaniohing approximation the interaction potential S.-.11- d3xjd3 efdt 1r.*, v~iv' (7) together with Equation (6), furnishes the same 3-matrix as tha:t obtained from Equation (5) without limitations. The calculation of the S-aatrix is limited by the followingi 1) The theorem of conservation of energy 'in the initial,and final states is not used; 2) onl:, those elements are considered whioh correspond to Feynman graphs and furnish irreducible ye presentations. The potential is usually dependent upon the three-di- meAsional vector of the distance between the particles and on their*mo- :.~nentum operators. The singularity in the zero interaction potential can be defined asymptotioally by the behuvior of the 8-matrix it the momenta Card 2/3 S/8 57/000/001/011/013 A066'y The relation between interactiin ..... 6 IA12 are large. It is shown that an interaction must exist between nucleons and pione.and also between electrons and photons, which permits a new of coupled steady states. There is I figure. SUBMITTEDr October 15P 1956 Card 3/3 3/88 IJ57/00*01/04 21,04 A066/A126 AUTHORs Lomeadze, Yu. M., Maksimov, B. I. TITLEt Investigation of potentials in theories with "non-linear" neson coupling SOURCE& Uzhgorod. Universitet. Nekotoryye problomy sovremennoy fisiki yadra i elementarnykh chastital abornik statey, no. 1, 1957& 111 - 141 TEXTr Part I: Theories with triple meson coupling. It in shown that it is possible in theories with triple meson coupling to give a finite representation of the 3-matrix of two nucleons in first non-vanishing approximation of the perturbation theory by renormalizing the constants of the "contact" terms. The singularities of tY, -otentials are . con- sidered for several varieties of the theory W' . mesonib field and pseudoscalar met3onie field). The singularitir are uf the types 17r-7 and ln(r/r7). - Part M Theories with quas~zuple meson coupling. The S-matrix can again be represented in a finite manner, and, in analogy Card 112 3/88 1j57/000/01/012/013 Investig,Aion of potentials ii, A0661AI26 to Part 1, Lhe Ongularities of [ke potentials have the form I/rIl and Some varieties of th(! theory lead to attractive and repulplye pottqtials. - Part Ill: The fi)iite forin of the scattering matrix *&a r.gaii be attained by ronarmalizing a auffiaient number of oonstanto of' 4,he loontaot'l.terme. The elimination of all infinites requires a u1ni-; num number of oonatants. An analysis of the singularities in the various v,--:jeties of the theory indicatea that in the case of 'a 2m-fold spinor ' meson coupling and of an r)-fold psoudoucalar-meson coupling the singulari- ties have the form ln(r/rbm-,-2n-1). There are 14 figures. SUBMITTEDs October 15, 1956 Card 2/2 LOMSADZE, Tu.M., dots., otv. red. (Program of and abstracts of papers read at the All- Union Intermiversity Conference on Quantum Field Theory and Elementary Pnrticles] Programma, i tezisy dokladov Vsesoiuznoi mezhvuzovskoi konferentsii po teorii kvanto- vykh polei i elementarnykh chastits. 2d, Uzhgorad, Uzhgorodakiy gos. univ., 1960. 70 p. (MIRA 16:10) 1. Vsesoyuznaya mezhvuzovskaya konferentsiya po teoril kvantovykh po;sy i elementarnykh chastits. 2d, Uzhgorod, 1960. (Quantum field theory) (Particles (Nuclear physics)) LOMSADZE, Yu.M., dots., otv. red *) PILIPOV, le., tekhn red. (Program of and abstracts of papers read at the All- Union Interuniversity Conference on Quantum Field Theory and Elementary Particles] Programma i tezisy dokladov. Posviashchaetsia 22 s"ezdu KPSS. Uzhgorod, Uzhgorodskii gos. univ., 1961. 117 p. (MIRA 16:10) 1. Voesoyuznaya mezhvuzovskaya konferentsiya po teorii kvantovannykh poley i elementarnykh chastits, A Uzhgorod, 1961. (Quantum field theory) (Particles (Nuclear physics)) L4DMSADZE,Yuriy MelijQagAchL- TALISKIYP D.A., red.; VORONINA, R.K.J. fe . red. - [Theoretical introduction tothe group concept In the theory of elementary particles]Teoretiko-gruppovoe vvedenie v teoriiu elementarnykh chastits. Mookva, Vysshaia shkola, 1962. 181 p. (MIRA 16:3) (Particles (Nuclear physics)) (Groups, Theory of) KUSHTAN, V.I.; LOWADZE, Yu.M., dotsent; ROM,~NKO? G.D. Principle of invariance claimed relative to the inversion cf each constant in 'the theory, and its consequences. Dokl. I soob. UzhGU. Ser. fiz.-imat. i ist. nauk no.5:20-24 162. (MIRA 171:9) KOVALICHUK, A.Ye.j IMCALZE, Yu.M., dotnent., 3HUBA, I.M. Use of the method of strong coupling in solving Soln's model. Dokl. i soob. UzhGU. Ser. fiz.-rnat. i ist. nauk no.5:26-30 162. (MIRA 17: 9) LOMSADZE, YU.M.P dotsent In t t, Renormalizat.lon of weak four-fermlon soob. UzhGU. Ser. fiz.-mrit, riau~ Possilhility o' det.ncting ~rd the scattering aTj)P';udo! ,-n Ibid.:69-72 KHIMICH, I.V.; LONSADZE, Yu.M.- KRIVSKIY, I.Yu. [Yxn9SkYij. LIU-I I P Certain conclusiuns drawn form the theory of the quantum field of the prc(bWlity amplitude, Ukr. fiz. ibur. 7'no.9067-974 S 162. (MIRA l5il2) lo Uzhgorodskiy gosudaretvennyy universitet. (Quantum field theory) (Probabilities) LERDIYELP V.I..; WMADZE, Yu.~L; ERNST, B.M. A more accurate presentation of the effective radius with the aid of the Mandellstam dispersion rel4ions. teor. fiz. 43 no.3:974,976 162. theory obtained Zhur. eksp. i (MA 15:10) ,1. Uzhgorodokiy gosudarstvennyy univeraitet. (Protons-Scattering) ILCMADZE~ YU.N.; rMIVSYIY, I.Yu.; KIIIMICII, 1.V. Goneral principles of developing a theory of the quantized field of the probability amplitude. Izv, vys. ucheb. zav.; fiz. no.4: 26-33 163. (7-!L~A 16:9) 1. Uzhgorodskiy gosudarstvannyy universitt-A. (Quantum field theory) ACCESSION Iffit AFIM146 8/0058/63/000/006/mM/Ma MURCH; M., Fixikav Abs. 6 3163 AUTMR: .1posadzep Ya. M. TIM: Fooeibility of disolosing and utilizing the analytic properties of the scattering aMlitude Ln maternion -qxce CIM SOURCE: Dokl. i socbshcb. Yzbgorodsk. un-t. Ser. fft.-watem.-i istor. n,,, no-'5o 1962t 69-72 TOPIC TAGS: spinor field.,, quaternion fioldf Lorentz transformation . vave equation, scattering.. four-space TRANSLATION: Lorentz transformations of the spinor quaternion field are consider- ed. A vave equation -that coincides formally vith the Dime eqmtion,, in vhIcb. the numerical matrices are replaced by Vaternion matrices# is written down for such a field. DATE ACQ: Card 1/1 l5jul 63 SUB CODE: PH ENCL: 00.- LOMSADZE, YU.M. Making use of the possible analy-ticity of r.,atrtx elements with respect to the field coupling constant. lzv.vys.ucheb.zav.; fiz. no.3:119-122 163, (MIRA 16:12) 1. Uzhgorodskiy i~osudarstvennyy universitet. LOMSADZEO Yu.M,; KRIVSKIY, I.Yu.; KHIMIGII, I.V. Fourth All-Union Gonference on the Theory of Elementary Particles. Izvovysouchob.zav.; fiz. no-31190-191 163. (MIRA 16:12) 1. Uzhgorodskiy gosudarstvennyy universitet. LOMSADZE, Yu.M.; KlitIVSKI'Y, I.Yu.;UL,!ICII, I.V. Physical nature of the theory ol th~.- quaiitlzod ability amplitude. Izv. vys. ucheb. zav.; fiz. fiild of [iroy.- no-4;11)-119 '()3- 16:c)) 1. Uzhgorodakiy gouudur3tvaraiyy univerLiitet. (4uantu:,i 4'iold Lhoory) (Prubabilitios) 17178-63 Ewr(1)~*(m)/FGC(w)/BDS AFFTC/ASD 60110605 _i_e? - S/0185/63/008/005/0 'ACCESSION MR; AP3000242 AUTFLOR: Lomsadzeju. M.;'Kry*va'~X~, 1. Yu.: Khimich. 1. V. TITLE: 'Fourth All-Union Conference on the Theory of Ele~entary Partiiles-/Weld 1n,Uzhgorod from 26 to 29 November 19627 SOURCE: UkrayLnelkyy OLcycMyy churnal, v. 8, no. 5, 1963, 601-605 TOPT X TAGS: elementary partLcle, Regge pole, quantum electrodynamLca, quantum fteld theory, unified theory of relativity, photonuclear reaction, gravitation theory ABSTRACT. The authors describe the proceedings of the Fourth All-Union Conference Ion the Theory of glementary!Particles, held in Uzhgorod on 26 to 29 November 1962, jaj1d preceded by,& four-day (21 to 24 November) seminar of theoretical physicists, eialiste in tho (jold ofelementary partLcles. At the seminar eminent special- s lectured on recent developments in the fLeld of strong interaction, high- ~ rgy quantum electro4ynamics, problems of the spatial-temporal description in i!ft relatLvLstic,quantum theory, pseudo-BuclLdean space-time at small distances, 1/2 Jlljd.~ d t -7- 4.17118-63 ACCESSION KR: AP3000242 the unified theory of relativity.. The discussion during the conference proper wa.aconcerned with such topics as Regge volephtronk interactionso weak and elec- .tromagnetic interactiona,'~gravit tion theory, the group approach to~and systemati- I Zatio'n of elementary particles, and new ideas and generalizations of the quantized,! fidld.'the'ory. The conference also included a section on photonuclear reactions, amsemMar to commemorate the eminent Danish physicist Niels Bohr, and a seminar 'jonith4 philosophical problems of the contemporary theory~of alementary:particles. The proceedings of the conference are being prepared for publication. 'ASSOCIATION-. None SUBbUTrED t 00 DATE ACQ: IS Jun 63' ENCL: A0 PUB CODE: NS, PH NO REP SOV: 000 OTHER: 000 2/2 11 ..;qr4 ACCESSION NRI AP4010405 S/0185/83/006/012/1304/1312 AUTHOR: Lomsadze, Yuo Me; Kry*vs*ky*y, I* Yu.I.Rmanko, Go Do TITLEs On the poseibi'rity of a specific Interaction between the 3-states in the quantized probability amplitude field theory . SOURCEs Ukrayinal" fix, thurnal, ve 6, no. 12, 1963, 1303-1312 ,TOPIC TAGSs quantized field, probability amplitude, qu&ntm mechanics, quantm theory, quantum, E-state, G-st&te, S-matrix, S-operator, wave function, interaction Hamiltonian, Hamiltonian ABSTRACTs This article is a continuation of work by the authors in developing the quantized amplitude probability field theory* It is shown that two types of interaction Hamiltonlans exist In the rramework of that theory. Those of the first type, corresponding to absence of interaction among the B-states entering into G-states, with any arbitrary degree I a 1, 2, 3,..&. of the internal chaotic state, for characteristics of processes usually observed experimentally, lead to the auto results as conventional quantited field theory and therefore cannot determine the value of the universal constant I realized in nature. Those of the second type, which have no analogy in quantized field theory and which correspond to the Card 1/Z ACCESSION no AP4010405 occurrence of a specific interaction among the E-states belonging to one G-state, in addition to Interaction of the firet types lead to physical effects which depend on the degree I of the internal chaotic state of the partiolesi that degree can in principle be experimentally determined* Since the effects are small, they can be observed only after a substantial Increase In experimental precision* It probably will be easiest to detect them In processes of particle decay. The authors are cordially grateful to Professor Ve L. Boj~ruysvrch for valued stimulating remarks and also to Yee Ve Kysry*ohuk She Kazinets' for aid in making certain calculationse Orig& arto hast ulass r 23v t*t ASSOGIATIONt Uzhgorodskysy dershuniversy .t (Uzhgorod State University) SUBVITTEDs 03MW3 DATE ACQt 20J&n64 ENCLs 00 SUB COM NS NO REF SOVo 008 OTHERe 003 Card 2/2 Fe ACCESSION N'R: A?4020305 ;S/oi39/64/boo/bo1/b1l4/bl21 AU?HoLs: Krivskiys 1. Yu.1 Lomsadze, Yu, H. TITLEi Problem of discrete stationary states,in the iheory of a quantized field of am. litude of probability SOUiCE: IVUZ. Fizika,, no. 1, 19a, 1lb-121 TOPIC TADS: discrete stationary sta;-.o, quantized 4eld, amplitude of probability,, wave function, harmonic oscillator,, 1VdroL;en atom,,:energy spectrum., universal cons'ant I %I , discrete energy state ABSfRA^vT: In the framework of the recently constructed new quantum theory--the theory of a quantized field of amplitude of probability and the theory of quantized field of a wave function--the authors study the,treatment of discrete stationary states in examples of a harmonic. oscillator ard-a hyt1rogen atom (and hydrogen-like, atoris). They show that the results of the now quantum theory with respect to the enerey spectrum4of a kWdrogen atom (and hydroeen-like atoms), for any value of the universal constant I - l.,2,3,-e*., involved in this theory, are identical to the results of the iisbAl quantum theory. They also show that the scheme of MUM 6~di /2 Accsssim NR: AP4=3% :electronic shells of atoms coming from the now quantum theory with any I coinoldoe 'precisely with the scheme comir4 from the usual quantum theory. They indicate the ,theoretical possibility of determining the value which is realizable in nature of the now universal constant I on'the basis of special experiments with atomic electrons. They discuss cartalA details relative to the treatment of discrete energy states in general in the new quantum theory, OrU, art* has$ 18 formulas, ASSOCIATION: Uz1ijorodskiy goauharitvanny*y universitet (Vibgorod State University)' SUBKITTAO: 043op62 DATE AGQs 3L%hw64 .-ENCL: 00 SUB CODE: PH NORM SOV I Oll OTHER: 007 Card 2/2