SCIENTIFIC ABSTRACT PODLOVCHENKO, B. I. -

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• Collection: Scientific Abstracts
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• Document Creation Date: November 2, 2016
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• Sequence Number: 11
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

0 .1 D-~,M?CHEINKO,
Ele,2,.rolytiz cxfdation cf orgari: mal.ters platln-l --z-r
C
pl at -I ri um, at hydrogen a3sorption pctertj.ai.~-3 D o k 15
P, j
no.6;1"416-11419 0 164. (ICRA 17.,12)
1. fioskovskiy gosLdarstvenn~y luni--rers:itet im. Lomonosova,
Pr-adstuvleno akademl-kom A.N. Fruinkinpri.

ZAZUNOVAO Ye.M., kand.sel'skokhoz.nauk; PODOLIGH, B.M.
At the facultieo of plant protection. Zushch. rast. ot vred. i 'DOI.
8 no.7tll-12 Jl '63. (MHU 16:9)
1. Zamestitell dekana agronomicheskogo fakul'teta. Gruzinskogo
sel'skokhozyaystvennogo instituta (for Zazunova).

Hk "v h
L
PRIKIiOT'K0, A F
AM 3 UAM I L%OOK EXPLOITATION SOV/1365
v"*ahcrAAly& pa spolctrosXopLl
Molokulyarnera spakt.-okiplys (Papers of the 10th Ali-Union
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as*
Fabellnskiy, I.L., Doctor of Physical ar4l Yatham&tioal So!en,
Yatolkanto V.A., Doctor of Physical and Mathematical Sciences.
Karmtt;OU. V.Q., Cand-daU of Tao!L-Acal Sciences, PMakly, S.K.,
Candidate of Physics:. ani Xathematical Sciences, Klizovakly, L.X..
Candidate of Physical ard Kithazatical Sciences, Killyanchuk, V.S.0
Candidate of Ph7xiaaa e-,%d KatherAtical Sclanaes, and Glauborman.
A. Yo., Candidate of Physical am matheivaticta sciences.
Card 2/3o
Usitswo M.P. Sp*ntrophOt.)mtrlc Study of the
Dispersion and Absorption of Solids 9T
1Q2d1~av11h1ank*~R;.I,. AL-A P.M. SuszhahUlskly. Use of
;go ro la ',zjr-fterb for '-he Cal*ujallon at
QUO'AG to at *-lowalar varitiqns 99
Potrash, O.G., 3.0. flau=an. Aoouravy of the
Measurement Of Optimal Denvit;7 102
RaUtian, S.O. 'G.O. Petrash. A-3curacy In Measuring
the Narrow Absorption U:ws While Exojudl:ra the
Apparatus Function 207
Tellch1cina, T.S., L.P. Mlidwyerva, and LA. Yakovl*v.
Molecular Dlaparsion of Light DariM rbaiw Tftmv-
to"OtIons In 3321da III
GlAsburg. V.L. Scatttring of rapt Year tha ftaae~
-tranaltion Points 115
30

t- 7,

SOV/112-59-23-48115
Translation from: Referativnyy zhurnal Elektroteldmika, 1959, Nr 23, p 120,
(USSR)
AUTHOR: Podlovehenko,. R.I.
lb
TITLE: On Principal Programming Conceptions
PERIODICAL: V sb.: Probl. kibernetiki, Nr 1, Moscow, Gos. izd-vo fiz.-
matem. lit. 1958, pp 128 - 134.
ABSTRACT:- The stages of programming for solving problems in digital com-
puters are considered in a general form. The principal con-
ceptions of a special mathematical apparatus necessary for pro-
gramming are formulated. Definitions of the unit of information,
i.e. of a final indivisible element of information, class of in-
formation, and system of unit of information (SUI) are established.
The SUI is a finite set each element of which is realized by a
certain unit of information out of the total information in.
question, that is it belongs to a certain class of information.
A parameterization is introduced so that elements of a class of
Card 1/2 information,are numbered by means of one or several parameters

On Principal Programming Conceptions SOV/112-59-23-48115
specific for the given class. A freely parameterized SUI is a system in which
each element can be numbered by means of its parameters, that is,can be realized
by any element of a certain class of information. A freely parameterized SUI
is defined as a totality of all parameters which number the elements of the
system. A superposition of connections on parameters leads to a connected
parameterized system in which elements can assume a'certain series of values
only. A connection can be of the 1st and of the 2nd kind. A connection of the
Ist kind siparates out of a set, corresponding to some element of the SUI, a
subset which can be considered as an independent set; the parameters intro-
duced-are called parameters of the lst kind. The connection of the 2nd kind
is superposed simultaneously on parameters corresponding to a number of elements
belonging to different SUI; the parameters introduced are called parameters
of the 2nd kind. A subeharacteristic of somo connected parameterized system
is called the characteristic of some equivalent system obtained by a trans-
formation of the initial system taking into account the superposed connections.
Conceptions of a sum, complement, intersection of two parameterized SUI and of
an operator are introduced. Operator is defined as a function converting an
input SUI into an output one. Ya.N.G. V/
Card 2/2

1600 ML40 I DWI ZXPWrrATIM 307/2660
W64807u=W vatealticheekly 8"yetd. 3rd. MoStow, 1956 .
rraft. t. 4: Mratkoye sod*rzhani7e sektolonakh dokladov- Doklady
In"trannikh uche"kh (Transactions of the 3rd All-Union Rath*"
tical conference in Moscow. vol. 4: Summary or Sectional Reporim.
Reports of Foreign scientists) Moscow, t--4-va AM 33SR, 1959.
04? p. 2,200 copies printed.
Spoessortag Agencyt Akadextya naak SSSR. Mate"tjob&skly Institub.
106h. W.3. M.N. Shelchanko; SdItorlia Board2 &.A. Abramov, V.0.
DoXtranskly A M. V"110yevo B.V. Xedvedomp A.D. Myshkis, 3.01.
Nikol-skly JIM;P. Rd.). A.0. Postrilkov, Ta. V. Fmkhorov, I.A.
NyWkov, P. L. 911yanov, V.A- Usponskly, N.G. Chatayer, 0. To.
Shilov. and A.T. Shirshov.
PUMPOU% This boOk Is Intwnd*4 for satheaRt-tetand and physicists.
COVNRM: The book to Volume IV of the Transactions of the Third All-
Won Math"Atleal Conference, held In June and July 1956. The
book is iff;FfdWd Into-two " parts. The first part contains
series of the papers presented by Sort*-. scientists at the Can-
ference that were not included In the first two volumes. The
second part contains the text or r"ports submitted to the editor
by nOh-SOvIst scientists. In those cases when the non-30viet act-
=t!-t did not submit a copy or him paper to the editor, the title
or the Paper i. ctteA and, If the paper was printed in a previous
volume, reference is made to ti- =;~r.~rtate volume. The papers,
both Soviet and non-Sovlet, cover various topL.. -'= --bgr theory,
algebra, differential and integral #quattons, function theory.
functional analysts, probability theory, topology, mathematIcal
problem of mechanics end physics, computational sath*matica,
mathematical logic and the foundations of nathocatics, and the
-th-tl-
P
T). On Certain mothods of solving large
t0us Of difference *QusttOnt Of the theory vr VlaPticity by
0000 of mixtril transformations 99
Klnysn~ R.$. (Yerevan). On the construction of effective
1. u I me
,:rzain mixed boundary value problema or astho.
;,;r,c
satical 9 for polygonal regime 98
Oft the use of electronic con-
0UZ*-?W-TR-"M-VWteul&t1on and Interpretation of vibrational
molecular spectra 99
-14200=t (KIYOW). on the evaluatton or eigWrivalues of
linear operators in Hilbert space 99
Illin. A,% (Leningrad). Zriterpolation polynomials for
fuh.tjoo f two variables 100

AT3 THORS Podlovehanko, R.I., 8vordlov, L.K. and 3us11chinskiy,.'-':.,`,
T

I
TLE
Rotatiorial Isomerism of 2,3-Dim thylbratano
Vibrational S pactra
(Kolobatellnyye spektry i povorotnays. icomeriya 2,3-d~metilbutRna)
PS MIODICAL: Optika i Spektroskopiya, 1959, 1rol 6, Nr 2i pp 14:6-153 (USSRj
ABSTRACT: Vibrational frequencies of 2,3-dimethylbutane were calculated using the
method described by Yellyashevi.,-h and Stepanov (Ref 4). Four
configurations of 2,3-dimethylbixtano vere discussed: symmetrical and
non-symmetrical trans-isomers (imo also as transisomer,and "twisted"
isomer), and symmetrical and noa-symmetrical cis-isomers. They are
shown in Fig 1 by diagrams a, 6, 6 and Z respectively. It was assurtiod
that the force constants are the same for all the foir isomers, The
force constants were taken frca the data on ethane and propane (Ref 4).
Each of the four rotational iacmers of 2,3-dlinsthylluatana has 54 normal
vibrations. The notation used for natural vibrational coordinates
is shovn in Fig 2. The calculated frequencies of nomEl vibrations
are given in Table 1. The experimental data on the Rai.= and infrared
spectra of 2,3-dimethylbutane (Refs 2, 5 and 6) are incmpletu. The
authors made some additional mtesurements , in particular measurements
Gard 1/2 of the degree of depolarization of Raman lines. The extierimental
't

SOV/51-6-2-4/39
Vibrational Spectra and Rotational Isomerism of 2,3-Dimethylbutana
technique used Yes described by Sushchinskly In Ref 7. The results
obtained together with the data reported earlier in tho literature are
given in Table 2. 'rable 3 givio the interpretation of the vibrational
spectra of the trans , "twisted" and cis-symmetrical isomers of
2, 3 -d imethyl butane. Comparing -the calculated and axperimontal values
the authors concluded that two :rotatiorml isomers exist in the liquid
phase of 2,3-dimethylbatane: tlie trans.-isomer and a non-syamatrical
isomer which is intermediate be-Wean the "twisted" and the cis-symmetrical
modificttions. The characteristic frequencies of adjacent tertiary
carbon atoms in 2,3-dimethylbutLne and -bon other hydrocarbons ware also
calculated and are given in TaVle 4. Thore are 2 figures, 4 tables and
9 references, 3 of which are So,viet " 6 English.
SU&MITTED- January 21, 1958
Card 2/2

. PODLOVCHENKO, R. I. Cand Phys-Math Sci -- (diss) "Formal re-
organizations of program schemes and their application in
.-I -
programming." Yerevan, 1960, 8 pp, (.,Torcow Order of Lenin Order
of Labor Red Banner State Univ im M. V. Lomonosolt. Faculty of
Mechanical Mathematics), 150 copies, (KL,31-.60, 140)

AUTHOR:
TITLE%
SOURCE;
Podlovchenko, R.I. (Yerevan)
B/582/60/000/003/007/009
D234/D305
On basic notions of programming. II
Problemy kibernetikiv no. 3, Moscowp 19609 123 - 138
TEXT: The algorithm of the solution of a problem on digital compu-
ters imposes c~ertain connections on the initial parameters of the
numerical information, and this leads to the formation of new para-
meters called by the author equivalent parameters. If there is some
parametrization of the classes of information, different from the
initial parametrization, there is a connection between the equiva-
lent parameters and the new parameters. If L' denotes the program
scheme obtained from the initial scheme L by substituting new para-
meters for the equivalent ones, the problem considered in the paper
is IV-he construction of the transition from L to L'. Five examples
are given (two deal with a transition to initi.'l parameters) and
multiplication of symmetrical matriceo is considered separately.
SUBMITTED: January 16, 1958
Card 1/1

8
S/021076j0/132/06/17/06,3
0 B014/3007
AUTHORs Podlovchenko, R. I.
TITLEs The System of Concepts in Programing
PERIODIULt Doklady Akademii nauk SSSR, 1960, Vol. 132, No. 6,
pp. 1287 - 1290
TEXTs In the present paper, one of the possible methods of defining the
teras(operators, logical conditions, and sequence of operators) in setting
up the program is investigated. Furtherg-several relations between the
sequences of operators are vet up on the basis of their functioning. First,
the description of the state of a storaget with a vector is dealt with, and
the representation of one set upon another with the help of operators is
discussed. The author next passes on to sets consisting of operators and
logical conditions. The elements of these sets are called terms. Further-
more, the properties of operator-sets are studied, and the term
"coordinate pair" for the expression (X 09k + 1) is defined when the state
X0 Of storage belonge'to the domain of definition of the term B k+1 (X0
Card 1/2

81397
The System of Concepts in Programing 3/020/60/132/06/17/068
B014/BO07
Further, the term "coordinate finite pair" and several special states of
storage are defined. It is further shown that it is possible to construct
the transformation of a sequence of operators 112in such a manner that
the property of the inclusion of X1 by K2 is invariant. Thus, however, M2
represents the scheme of a program provided the elements are correctly
defined. Finally, a manner of applying the idea developed here to the
matrix calculation is outlined. There are 9 Soviet references.
PRESENTEDs February 26, 19609 by A. I. Bergq Academician
SUBMITTEDs February 13, 1960
Card 2/2

. ~?~-
Finding eigenvalues of matrices ky the method of successive diagonal-
Ization on the electronic computer. Probl. kib. no.6:15-32 161.
MRA 15:1)
(Programming (Electronic computers))

,..,PODL.OVCHENKO, R.I. (Yerevan)
A problem involving folding c:,rcles. Fi-obl. kib. no.9,123-138 163.
(MIR.4 17f:0)

ACCESSION NR: AT4041986 S/2582/64/000/011/0131/0145
AUTHOR: Podlovchenko, R. 1.(Yerevan)
TITLE: j An example of the use of conversions of program logic system
SOURCE: Problemy* kibernetiki, no. 11, )964. 131-145
TOPIC TAGSz computer programming, logic system, system conversion. program logic,
boundiry value'orob)em, Dirichlet problem
ABSTRACT: The present paper illustrates the concepts involved In the formal con-
version of logi,c systems described in previous-papers, and is a continuation of
previous work done by the author on obtaining the eigenvalues of a matrix by suc-
cessive diagonalization, etc. The paper treats the Dirichlet problem of a square
array when the boundary conditions of the function sought are symmetrical with
respeci to jne of the diagonals of the matrix. A scheme is set up for obtaining
the k-th approximation by an iteration method and an algorithm is constructed by
defining a number of operators acting on the m3nifold of number-pairs and then com-,
ibin;ng them Into an operator which carries out the k-th iteration on all the Inter-
nal nodes of the grid derived from the original array. This leads to a logical
statement which is the solution algorithm to the probliem. 'Two logic systems for
tiaorithm are considered, one being more economical In storage required. Con
eah

ACCESSION MR: AT4041986
version Is then made from one system to the other to Illustrate the notion of for-
mal conversioni,of logic schemes, based on transformation of the parameters of the
systemp by mapping the grid of one onto the other. This gives rise to now opera-
i tors whose properties are enumerated, and a nem, scheme which Is equivalent to the
secon4.initial:ischeme, and which Is then programmed for a conventional 3-address
computer previously described by the author. Orig. art. has: I computer program,
3 figures and 23 equations.
ASSOCIffION: NsuchnY*Y sOvet PO kOuPslekenoy Problems Kibernetiki Akademii nauk
f8SSR (Scientific Council of Complex Problems of Cybernetics,, Academy oroaciences 83SR)
SUBMITTED: 2OOct62 ENCL:
SUB CODE: OP NO REF SOV: D07 OTHER: 00
Card 2/2

PODLOVCMMO-.- R. I., KROITSKIY, N. A., YERSH)V, A. P.
wReview of Work on Logical Schemes of Algorithms"
presented at the A1141nion Conference on Computational Mathematics and
Computational Techniques,, Noscow, 16-28 November 1961
So: Problwq kibernetiki,, Issue 5, 1961, pp ;289-294

PODLOVCh'ENY,O, R.I. (Yerevan)
Concerning the conversion of programming networks and their uses
in programming. Prob. kib. no.7:161-188 '62. (MIRA 15:4)
(Programming (Electronic computers))

S/582/62/ODD/007/OD6/008
1001/1211
AUTHOR: Podlovchenko, T. J. (Yerevan)
TITLE: On the transformations of program schemes and their use in programming
SOURCE: Problemy kiberneitki, no. 7,1%2,161-188
TEXT: Some stages of processing an algorism precede the compiling of a program that will realize this algo-
rism on an electronic computer. A. A. Lyapunov (Ref. 1: sb. Problemy kiternetoki, no. 1, M., Fizmatgiz,
1958, 46-74; Ref. 2: Matematicheskoye prosveshcheniye, no. 2, Gotechizdar, 1957, 81-85) has singled out
of these stages the construction of the computing and of the program schernes. These two schemes are united
under the title of logical program schemes. The use of logical prog,am schemo-, made possible the construction
of a certain algebraic calculus by which identical, in some sensv, transformations of these schemes can be
carried out. A number of modes of semi-containing transformations was found by a purely empirical method.
These transformations make it possible to essentially simplify the program scheme. The main difficulty in
systematizing these transformations was that the semi-containing concepts of operator, logical condition,
counting and program schemes were useless.
This paper which is a continuation of previous work by the same: author (Ref. 4: sb. "Problemy kibernotiki",
no. 1, M., Fizmatgiz, 1958, 129-134; Ref. 5: sb. Problerny kibernniki, no. 3, M., Fizmatgiz, 1960, 123-138;
Card 1/2

PODLOWSKI, Seb"tiaml GORROKIP Jan
Production of chipboarda in the mInteriorm plant in Czechoslovakia.
Przem drzov 12 no.n:6-8 '61.
(Czechoslovakla-Wood,jork) a\

PODhOWSKI, Sebastian
- Chipboards from waste obtalned Prom clenaing Fdpwood. Pmem drzew
13 no.W-ll 152.

PODLUdSKI, S.
"Calculating the volume of steam for a dr7ing hcuse." p. 16. (Przemysl Drzewny, Vol. 4,
no. 5, May 53, Warszawa)
SO:,Monthly List of Fast European Accessions# Vol. 3 No 6 Library of Congress Jun 54 Uncl

PODLOWSKI, Tadeusz
Tetanus in the Rzeszow Region fr(m 1/1, 1956 to 4/30, 19.59.
Przegl.epidem. 14 no.W29-132 160,
1. Z Dzialu lpideniologii Wojewodzkiej Stacji Sanitarno-
Epideniologictnej v Rzeszovie Rierownik Dzialu: lek.med. A.Mes
Dyrektor Stacjl: lek. med. Z.Hazurek
(TETANUS statist)

POMMMOV. M.G.
.. m.,
Modernization of the D16,5/20 engine iseries.
Test.mah. 33 n0-9:20-22 3 '53.
(MIRA 6:10)
(Gas and oil engines)

C) 1"k"V
-,Pc,j
VOROBITRY, S.I., ksnd.telJxn.nsuk, otv.red.; KONOVALOV, I.I., inzh., red.;
MAKARMNO, V.P., inzh., red.; NIXIMM,K.T., inzh., red.; NOTIEOVA,
N.T.. inzh.. red.; PIKWOVNMOV, R.T., prof.. red.; POLL02HWOV,
P.M.. inzh., red.; SMMO, M.F., prof., red.; TOROPOT
-rbd-.'; TSIMKOVN", I.M., inzh., red.; CHERIUSHIN, I.P:, inzh., red.;
SHNVCEMIKO, K.G., tekhn.red.; LIMATIOVA, K.I., takhn.red.
[Macbanization and automation of production processes; proceedings
of the city tachnical.conforencel Makhanizateiin I avtomatizataiia
proizvodstvennykh protsessov; obornik matorialov gorodskoi talchni-
cheskoi konferentsil. Kharlkov,:Eharlkovt;koe knizhnoe izd-vo,
1959. 295 P. (MIRA 13:1)
1. XOMMIniBticheskaya partiya Ukrainy. Kharlkovskiy gorodskoy
komitet. 2. Nachallnik Ukrainsko'r proyakino-konstruktorskoy
kontory *Prom-aldwnizateiya",(for Werkovmiyy).
(Automation) (Technologioal Innovations)

Pavel Mikhaylov.ich;
[Mechardzatiort, automation and productim qualityl Me-
khanizatalia, avtomatizatsiia ;~ kachost'vo produktsil.
Khartkovp Kharikovokoe knizhno;i izd-vo, 1962 0 69
(M1RA 17:1J,
Glavnyy inzhener
r Podlozhenov).
ogo podsh.ipnikovogo zavo

BAIEZIN, S.A.; PODOBAYEV, N.I.; GLIKINA, .?.B.; KURBANOV, F.
Inhibitors for the hyirochloric aeLdization of oil wells
with high bottom hole temperatures,, Neft. Ichoz. 42- no. 3:
35-38 Mr 164. (MIRA M7)

PODLUB14YY, L. 1.
Formation of molecular lons in coll'sJn= of slow atomB. Zhur. 0-ap. i
teor. fiz. 47 no.2255&.563 Ag 164. OaRA 17:1,10)
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ACCESSION NR: AP4043630
B/0056/64/047/002/0558/0563
AUTHOR: Podlubny*y, L. L.
TITLE: Formation of molecular ions in collisions of slow atoms
SOURCE: Zh. eksper. i teor. fiz., v. 47, no. 2, 1964, 558-563
TOPIC TAGS: molecular ion, particle collision, ionization cross
section, quantum theory, excited state
ABSTRACT: It is shown that when atoms having energies 1-10 eV
collide they form a molecular ion Ln a ground or weakly excited
vibrational state, for which neither classical nor quasiclassical
approximations can be employed, so that the relative motion of the.
interacting atoms must be described quantum-mechanically. To this
end, the author uses the distorted wave a,-.?proximation to calculate
the transverse cross-section of asaociatiue ionization as a function
of the energy'of relative motion of the colliding atoms. As an
Card. 1/2

ACCESSION NR: AP4043630
example, the formation of No in the reaction N + 0 NO+ + e is
discussed. The temperature dependence of the cros.9 section for this
reaction is obtained, with accuracy to a c,:~)nstant,factor, and it is
shown that the result is valid in the region 103--lo4oK. Although
the cross section is obtained under the assiumption that the pole-
cular NO+ ion is formed in a vibrational ground state, the resultr-
hold also for transitions into other states. Orig. art. has: 1
figure and 16 formulas.
ASSOCIATION: Moskovskiy energeticheskiy inatitut (Moscow Power
Engineering Institute)
SUBMITTED: 23Jan64 ENCL: 00
SUB CODE: NP NR REF SCIV.- 003. OTHER: 013
Card 2/2

SEKEVSKAYA, V.Ye.; PODLUBNAYA, Ye.T.; IGNATOVA, AN.
Improved methods for the analysis of fuziel oil. Trudy T-LNIISP
no.6:155-163 158. (MIRA 14:12)
(Fusel oil--Anal.,,rsis)

PODLIJBNAYA, Ye.T.
Selection of an indicator for determining the alkalinity of water-
alcohol solutions. Trudy TSNIISP no~6.180_186 '58. (MIRA 14:12)
(Indicators and test papers) (Alcohol--Analysis)

UltrELTiolet absorption spectra j)f
aromatic alcohols. Trudy TSNIIclp
and essential oils-45pectra)
(Alogholpr--;3pectra)
PODLUBNAYA t Ye

FODLUBNAYAq Ye.T.; BABKOVAr A.N.; EPELI'MANtA.D.; EPELIMAN9 A.A.
Interferometric method for determining the concentration of
essential oils from 4 ' in solutions. Trudy TSNIISP no. 8:151-
157 159. (MUU. 14: 1)
(Essences and essential oils) (Alcohols)
ill

PODLUBRATAo TO.T.; MUTUTA, G.S.
PWdftcatlon of vodka by activated carb:on. and a control of the
process based on the differenco In oxid.izability betvaen -vodka
and the refined loroduct. Tnidv TMIISP no-7:153-161 159.
~ -~- -, " NDU13:9)
(Vodka) (Oiddation) (Production control)

_, FAYBISOVICH, I.L., k nd. tekhn.nauk,
POD JBNYI, SemeuAb=mgvich- a
retsenzent; YEFREMDV, V.K,., inzh,,, otv. red.; KOSTONIYAN,
A.Ya., red.izd-va; SHKLYAR, S.Ya., tekhn. red.
fInstalling mine equipment]Montaith shakhtnogo oborudovaniia.
Moskva, Goagortekhizdat, 1962. jp6 p. (MRA 16:3)
(Mining engineering-Equipment and supplies)

L:
A
TITLE:
/010/014
/000/005
2
':Iodlubnyy L.I.
On the- theory nf f"o c e s
PI-1,R"t I zves t -" Y" v N z
,L961, (,lo-93
T-I..XT There arct Lwo meiI4,Dils fL)Z- F rces.
-0
Tile first method is hask,,! 1,01- thc der
Naals fo--ces Obtained from "'he qui~ntum per-c~iirb.,)t-Lori
theory uhich have to be integrz~-zea tilt-, vCjt,.j*,ie Of tile CC)ll0iC4aj
particles. On the Other hc7nd, in Lifsh-:~ts' 'C~eoz-Y (Ref-3: Zhi,"TF,
29, 94? lt)35) OIC 17101CCUlar fCI"CCS Ir-L-SU -,S a result of lorig
-wavelcngth -:-.-I the Snace the
particles and may be ob-caint~~c~ zz~ tii,~~ t',, eowipuncnts o--F' Lh---
electric fteld ten-q-:or. -L ni _.-, I.J -I,- t :k On t 0 t II C f J,. r:~i
method, Lifshits' method IeZdz-, to a closo-I macroscopic f.~-zpr~!ssioa
for the interaction force wher~~ 6' ~Js th,~ A-vidt- Of a
parallel I-ap- This expres!-;iar is more accurate ~5ince it ncludcs
higherorder terins. i-or two
I