SCIENTIFIC ABSTRACT LIFSHITS, I. M. - LIFSHITS, I. M.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000929910003-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 12, 2001
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

LIFSHITS., I. M.
USSR/Mattiematics - Perturbation Jan/Feb 52
Theory, Untum Statistics
"A Problem in the Perturbation Theory Connected
With Quantum Statistics,"'I. M. Lifshits.
"Uspekh Matemat Nauk" Vol VII, No 1 (47), PP 171-
180
Quantum statistics and crystal theory have the
problem of computing the spur (trace) of the opera-
tor Sp (F(LtA)-F(L). Solves a similar problem'for
an arbitrary degenerate perturbation operator A
vithout using any usual requirement of "smallness"
of A. Gives example of the computation of free
energy of a solid soln. Submitted 7 May 51.
204T30

LIFSHITS, I.N.
USSR/Physics - Thermodynamics Apr 52
Thermal CaWity of'Thin Films and Needles at Low
Temperatures,u I. M. I;ifshits, Pkw Tee@h Inst,
Acad Sci Ukrainian SSR
"Zhur Eksper i Teoret Fiz" Vol XXII, No 4,
471-474
f,@ Shows that bended waves, with the dispersion lav6j-
k2, propagating in thin films and needles have a pe-
culiar thermal dependence of heat capacityat
sufficiently low temp. For thin needles it is
C - T 1/2;!and for thin films it is C - T. Re-
ceived 19 Nov 51.
215r84

USSR/Physics Thermodynamics Apr 52
nftermal. Properties of Catenary (Chain) and
Laminar Structures at Low Temperatures," 1. 14.
Lifshits, Phys Tech Iast, Acad Sci Ukrainian SSR
"Zhur Eksper i Teoret Piz" Vol XXII, No 4, pp 475-
Investigates subject taking into account results
obtained by author for thin films. 13%sic method
consists in finding the dispersion law of long-
Veve spectr= band of oscillations.of laninar
crystal as a vhole in an approximation in which,
219T85-
besides eqs of elasticity theory of strongly ani-
86tropic body, the transversal rigidity of sep
atcvic layers or chains is taken into account. Re-
sults are used for studies of thermodynamic coeffe.
Indebted to A. A. Gklk:Ln. Received 19 Nov 51.
215T85
t;
E-

ussOngineering.- Vacuum Pumps Aug 52
"Theory of Steam-Jet Vacuum Pumps'll 1. 14. Lif-
shits, L. N. Rozentsveyg
"Zhur Tekh Fiz" Vol 22, No 8, Pp 1362-1375
Studies alimple model of steam-jet pump. De-
rives formulas and curves giving the velocity
'of evacuation and the limit of obtainable
vacuumat various values of parameters.'A'. char-
P_@
acterizing the jet. Indebted to K. D. Sine-
laikov. Received 13 May 52.
226T38

--- --- - -- - I - - - -- - --- -- - - -- -- -- - --
Thermochemistry
Remarks on I. M. Livshits' works: "Thermal propertir--B of chain and layer structures at
low temperatures" and "Heat capacities of thin films and acicular-shapeed bodlea.1
V. V. Tarasov. Zhur. fiz, khim. 26 no. 5, 1952.
Monthl List of Russian Accessions, Library of Congress, November 1952. Unclassified.

1+ y,

1. LIPSHI","J, I. J-',.
2. USSR (6oo)
4. Thermochemistry
7. V. V. Tarasov's theory of hoat capacities and his remarks concerning
my work in this field, @,hur. fiz. khir., 27, lio- ?-, 1953-
9. Month List of Russian Accessions, Library of Congress, April, -1953, Uncl.

@.d
111-31(1053). 3p. (NSF-I,-91)
The kinetics of the destruction of superconductivity by an'
Y_
alternating field with frequency w t 101 sac-' was Invesil-
gated. A kinetic equatiod was derived from the Maxwell
equations limited by certain boundary conditions: - SH/Oz
(-4w/c)j; BE/Oz = (-I/c)(DH/8t); if 1 @4 - II&Q; E
Ilk W(t)/c); and dr/dt - (11(t) Ilk)/Hk)vo- V.S.R.)

1. M.-.
USSR/Physics - Magnetic Obsceptibility, 1 Aug 53
Low Temperatures
A,
"Theory of MagneLic Suscept 'ibility of Thin Metal-
lic,,Layers at Low Temperatures)"..'I. M. Lifshits
N and-1. M. Kosevich',@'-Phys-Tech Inst, Aced Fci Ulcr
SSRj-jKhar1kov State Univ im Gor'kiy
DAN SSSR, Vol 91, No 4, pp 795-798
Study magnetic properties of a metallic layer of
finite thickness. The usual assumption is made
of electron gas between two infini,@,.ely high
11potential walls." Obtain formulas that
272T86
facilitate study of arbitrary thickness of film.
e.d by Adad L. 1). Landau. 5 Jun 53.
Present
V'SSR/Physies X-Ray Background I Nov 53

USSR/Physics Energy spectrum ri) 4.L@q
Card 1/1 Pub. 147-5/16
Author : Lifshits, I. M-.-
Title : Determining the energy spectrum of a Bose system from its heat capacity
Periodical : Zhur. eksp. i teor. fiz. 26, 551-556, May 1954
Abstract : Studies the possibility of determining the energy spectrum of a Bose
system from its heat capacity. Solves analytically this problem.
Shows that the formal solution of the obtained integral equation is
instable; however, the "smoothed" spectral density of stability, which
is of physical interest, can also be constructed from experimental
data in principle with the desired degree of accuracy. Thanks L. D.
LandauY V. A. Mzrchenko, and M. G. Kreyn for their discussions.
Institution : Physicotechnical Institute, Academy of Sciences Ukrainian SSR
Submitted : November 2, 1953

L W
11PSOT 3p-
M

-Authors Lifshits, I.. M.., and Kosevich, A. M.
theory o he@de Haas van Alphen affect for particles with
arbi. rary. law of, dispersion
jarlodlcal@ I Dokl. AN.sssRj, 96, Ed. 5) 963 - 9661 June 1954
Abstract
_
The@ariodical dependence of magnetic.susceptibility upon the field at
lwtemperatures (the de Haas - van Alphen effect) is observed for a
large number of metals, The numtitative theory of this phenomenon
was developed for electron gas with quadratic law of dispersion which
is good only at the bottom of an energy level zone. The article analyzes
conditions under which the quadratic dispertion mentioned above is
good and it comes to the conclusion that such an assumption Is without
a resonable base. Four references.
Aciad.-lof Se. Ukr-SSR.,,Physico-Techn. Institute
Presented by! t Academician, L. D. Landau,, March 15, 1954

4f a its, I.H. and Pogore lov, A. 11,
Oh
Title 1: Deteimination of the Fermi surface and electron speeds in metal by the
i oscillations of.magnetic suaceptibility
Peirio'dtcal':., v@ Dokl.@AN' 355a, ?.61, Ed. 6 1143 1145
June 1954
st"udy @ of: the, de:- Haita-van A17.ohen effecti for riartlcle6 with arbitrary dia-
Persion-law showed thatUe periodi andlamplitWes.ofthe magnetic moment-.
oscillation are connected with the form of the Fermi boundary outface for
electron In the metal. By knowing the form of.that surface one can find
-thevolume and consequently the ntnber and speed of electrons in the cor-
-responding zone. 'The magnet@e suseentibility.oscillations in the zone of
not too.large fields (HrvlO-4 Gaus:j),are connected only with zones having
an abnormally small number of electrons. One reference.
Institution Acad. of Sc. Ukr-SSR, Physico-Technical Institute
:.Presented@by.:- Academician L. D. Landau, March 15i 1954

USSR/physical Chemistry Crystals, B-5
Abst Journal: Referat Zhur - KbJ iya, No 1, 1957, 190
Author: Lifshits, I. M-,-a d Stepanova, G. 1.
Institution: Lvov University
Title: On the Energy Spectrum of the Oscillations of Random Crystals
Original
Periodical: Fiz. sb. Llvovsk. un-ta., 1955, vol 1, No 6, 84-94
Abstract: A method is proposed for the calculation of the spectral intensity of
the oscillations of the atoms of a lattice composed of different iso-
topes of the same element. An idealided simple lattice is discussed
in which all the oscillations occur ii, the same direction.
Card V1

LIFSHITS, I.M.; ITSKOVICH, F.I.
Kinetics of superconductivity breakdown brought forth by a
variable field. Uch.zap. MGU no.6:45-57 155. (XW 10:7)
(Superconductivity)

LUSHITS, -I.M4; KOSEVICH. A.M.
Oscillations In the thermodynamic values for a degenerated Fermi-
gas at low temperatures. Isv. AN SSSR.Ser.fis.19 no.4:395-403
Jl-Ag '55. (KW 9:1)
(Low temperature research) (Blectrons)

USSR/Physics, Applied-Vacuum Pumps
Card 1/1 Pub- 153-21/28
Authors : Lifshits I. M. and Rozentsveyg L. N.
Title : Theory of vapor stream vacuum pumps
FD-3212
Periodical : Zhur. Tekh. Fiz., 25, No 7, 1323-1325, 1955
Abstract : Polemics concerning an article published by the authors in 1952 (ZhTF, 24,
1362 (1952)). The authors answer criticism by V. I. Skobelkin and N. I.
Yushchenkova (ZhTF, 24, 1879 (1954)) and attempt to justify their theoreti-
cal assumptions. References as above.
Institution: -
Submitted : January 28, 1955

USSR/Physics Helium II FD-26806
Card 1/1 Pub. 146 - 23/26
Author Lifshits, I. M.; Kaganov, M. I.
Title Effective density of rotating liquid helium II
Periodical Zhur. eksp. i teor. fiz., 29, August 1955, 257-258
Abstract As has been shown (L. D. Landau, Ye. M. Lifshits, DAN SSSR, 100, 669,
1955). during rotation of a container with helium II the normal part
of the helium mass rotates as a whole, but relative to the superfluid
motion the cylindrical volume of liquid is resolved into a number of
coaxial cylindrical layers in each of which s9erfluid motion h2ld@ with
velocity distributed according to the law: v1 - bi/r, bi = W(ri-r 41V
s
of the boundaries of sepa-
(2-in[riI/,-111, where the values of the radii
ration are cLetermined for two limiting cases of slow and fast rotation.
In the present note the writers make more precise these limiting cases.,
and study the dependence of effective density upon angular velocity W
for various temperatures. Two references: e.g. Ye. M. Lifshits,
Sverkhtekuchest' (teoriya) (Superconductivity (Theory)], supplement to
monograph of Keesom, Foreign Literature Press, 1949.
Institution Physicotechnical Institute, Academy of Sciences Ukrainian SSR, lKharlkov
Submitted March 31, 1955

LiEifiTS, ).rl
USSR/Physics magnetism FD-3244
Card 1/1 Pub. 146 - 3/44
Author Kosevich, A. M.; Lifshitsx I. M.
Title The De Haas-Van Alphven effect in thin layers of metals
Periodical Zhur. eksp. i teor. fiz., 29, No 6(12), Dec 1955, 743-747
Abstract Considered are the magnetic properties of electrons in thin metal
layers in the case of an arbitrary law of dispersion. The authors
determine the energy levels of quasiparticle with arbitrary law of
dispersion in a magnetic field in the presence of a perpendicular
potential field. They calculate the oscillating part of the mag-
netic moment of the gas of such quasiparticles, and utilize the gen-@
oral formulas for an investigation of the De Haas-Van Alphven effect
in thin layers of metals. It is shown that the periods and ampli-
tudes of oscillations are determined by the shape of the Fermi bound-
ary surface and depend essentially upon the ratio of the thickness
of the layer and the "radius of the classical orbit" of the quasi-
particle. Two references.
Institution Fhysicotechnical Institute, Academy of Sciences of Ukrainian SSR
Submitted July 19, 1954

ROSMSTRYG, L.N.; LIFSHITS, I.M.; LEYKIN, G.A.; KONDRATly1w. V.N.
Nobel prizes for 1954 in the fields of physics wA chemistry.
Friroda 44 no-12:37-41 D #55. (HLRA 9:1)
l.Ohlen-korrespondent AN UWR (for Lifshits)
(Nobel prizes) (Physicists) (Chemists)

L I F 13 j-1 I TI
Category USSR/Solid State Phyaics - Solid state theory, Geowtric crystallography E-2
Abs Jour Ref Mur - Fizika, No 1, 1957,No loW;
Author z Lifshits, I.M.) Penasda, V.I.
Title :-6YIN-e-we-ory of Scattering of Quasi-Particles with Arbitrary Dispersion Law.
Orig Pub Uch. zap. Khar'kov8k. un-ta, 1955, 64, 3743
Abstract Calculation of thrz waveforms, surfaces, amplitudes of scattered vaves, and
effective scatt4ing cross aectionis of quasi-particles with arbitrary dis-
persion law, acatter;,E4 by local irregulearities. It is established that
1) the scattering vaws is in general a superposition of several vavqa,
the amplitude of ths -;awe- [e-mail] on the law of dispsrsion and oni the
pecularities of the scetteriDg cpmter, 1.3) the form of the scattered wave
depends on th--- dispersion lav, and M) there may be isolated directions, in
vhich the scattered vave diminishss slaver than the reciprocal of the distance
Card 1/1

Li Fsi4 i I,
A
Category : USSR)A@omic and Mol,,,lr Physics - low-Temperautre physics D-5
Abs Jour :Ref Zhur - Fizika, No 1, 1957, 110 897
Author :TAfshits, I.M., Italeevich, F.I.
Title he Kinetic Destruction of Superconductivity by an Alternating Field.
Orig Pub :Uch. zap. Kharlkovsk. un-ta, 1955, 64, 45-57
Abstract ;The theory of the kinetics of the destruction of superconductivity by an
alternating field, developed by I. M. Lifshits (Zh. ekzperim. i teor. fiziki,
1950, ?.Q, 834; Referat. Zhurnal Fizika, 1956, 6727) is generalized to take
into account the curvature of the speciment and thermal effects. It is shown
that the maximum thickness of the*normal layer is greater for a cylindrical
specimen than for a plane one. The iLverage relaxation speed increases in the
same katio. The authors start with the equation of heat balance to take into
account the thermal effects. The resultant equation of motion of the bound-
ary is integrated for the cases of isothermal and adiabatic modes.
Card 1/1

LIFSIIIT,-),, 1. M. , AZBEL, M. I. ond KAGIUNOV, M. I. (Khar ' kcv)
"On the Theory of Galvanomaguetic Phenomena," paper presented at the
Internutionol Conforonce on Physic3 of l4wmetic Phenomena, Sverdlovsk, 173SIR,
23-31 May 1956.

LIFSHITS, 1. M. NDSEVICH, A. M., and POGORELOVp A. V. (Kherlkov)
"The Energy spectrum of Electrons in Metals and the De-Hass-van Alphen Effect,"
a paper submitted at the International Conference on Physics of Magnetic Phenomena,
Sverdlovsk, 23-31 May 56.

OMBLITANOVSKIY. X.M., otvatstvannyy redaktor; SINBLINIKOV, K.D.. redaktor;
radaktor; OSTRYAIIIH. D.F., doktor filosofa*--I-kh nauk,
redaktor; PASRGHNIK. X.Y., Imndidat fisiko-matenatichaskikh nank,
redaktor; SHUGAYLIN, A.Y., kandidat filosofskikh nauk, redaktor;
AGUY, H.A., redaktor Isdatel'stva; SIVACHMNKO, Ye.K., takhaichaskiF
redaktor
(Philosophical problems in modern physics] Piloqofskie voprosy
sovremennoi fiziki. Kiev. 1956& 250 P. (ML-IiA 10:1)
1. Akademiya nauk URSR, Kiyov. 2. Deystvitell W chlen AN USSR
(for Omellyanovskiy, Sinallnikov) 3. Clilen-icorrespondent AN USSR
(for Lifshits)
(Physics--Philosophy)

cono@

Category USSR/Solid Stat'e PhysAs - Morpholoa of Orystals. Crystallization E-7
Abs Jour Ref Zhur - Fizika, No 1, 1957,No l"V6
Author :'Aleksandrov, B.N., Verkin, B.I., Lifshits, 1.41, Stepanova, G.I.
Inst : Physical-Technical Inst. Academy@o@ciinces_Ukrainian SSR.
Title : Investigation of The Mechaaism for Cleaning Metals of Admiktures, Using the
Zonal-Recrystalliz&tion Method
Orig Pub Fiz. metaalov i metallovedeniye, 1956, 2, No 1, 105-119
Abstract A'dete4led theoretical and experimental- study is made (u@ing alloys of the
Pb-Sn-U.3 and Sn-Bi systems) of the mechnnism for purii)ring metals by the
zonal-r6crystal-lization method.'. The impurity distribirtion was studied by
measuring the acti-Vity of specimens, takein from various parts of the ingot, or
by using the contrast-radiography or the residual-resistance methods. The
role of the absence of equilibrium on the crystallization boundary and the
role of diffusion and convective displacement in the zone are examined.
Card 1/1

m c
MRT
-44
77

q

------------------------ -___ __
,Z,,P 3IVj 7-if" T. AI.
USSR / Electricity. G
Abs. Jour :.Ref Zhur - Fizika, No 4, 1957, No 9735
Author Lifshitz, I.M.
Inst jYjjc-6-7-re_cTnical Institute, Academy of Sciences Ukrai-
nian SSR, Khar'kov
Title Quantum Theory of Electric Conductivity of Metals in MaEpetie
Field
Orig P ub : Zh. eksperim. i teor. fiziki, 1956, 30, No 4, P14416
Abstract : A consistent quantum tI,, y o.' conductivity of metals La a
mgnetic field is consr- No special assumptions are
made concernin.- the foi- ci-.' the electron collision integral
with phonons as well at fte distortions of the crystalline
lattic6.
Card : 1/1

LIFSHITS, I.M..; STEPANOVA, G.I.
'Oscillation spectrum of nonordered crystal lattices. Zhur.eksp. i teor.
fiz. 30 no.5*.938-946 MY 156. ()C12A 9:9)
1.Fizika-tekhnicheski7 institut Akadamii nauk Ukrains)wy SSR.
(Grystal lattices)

"LIPBRITS, I.M.; STEPANOVA, G.I.
Effect of ordered arrangements on the energy spectrum of
phonona. Zhur. eksp. I teor. fiz- 31 no-1:156-157 JI 156.
(MLRA 9:11)
1. Fiziko-takhnicheakiy inatitut Akademii nauk Ukrainskay
SSR.
(Isotopes-Spectra) (Crystal lattices)

Z'
SUBACT USSR PHYSICS CARD 1 / 2 PA - 14889
AUTHOR AZBEL M - JA.', GERASIMMIKO,V.I., LIF316,1.y.
-TITLE The Paramagnetic Resonance and the Polarization of Nucle;_ in Thick
Layers of Metal.
PERIODICAL @Urn.eksp.i teor.fis,31, fasc.2, 357-359 (1956)
Issued: 10 / 1956 reviewed: 11 / 1956
It is shown that with the help of a high frequency magnetic field
2
H1 (an6 eff/c-2Z Tfw )Hoit is po3sible to polarize nuclei of rather great
depth: 6 eff- 10 up to 1 cm (up to which the electron progresses on the occa-
sion of diffusion during the tine T fW ). Here H0 and H 1denote 'the field strengths
of the constant and high frequency maGnetic field, T f"V - the time of the free
length of path of an electron with spin exchange M, Z - the surface impedance
of the metal. For the development of a consequent theory the following MAMIELLIS
equations: curl E--(1/c)A/at, curl Hj=(41',/c)1J, B='Hl+4nYi and a kinetic equation
for the operator ? of electron density are to be solved. (The operator f acts only
upon the spins). af af -) af af af
4 _' 4^ +
V+_ E+ Ha' f
C i@
+ ih at)col + (7t)fw.' 0
at or a?
Here ( af/at) and (a?/at) denote the collision integral with and without spin
col L-4 sp 4
exchange respectively, @ - the spin operator, v and P velocity and momentum of
the electron. For these collision integrals explicit expressions are then given.

)jj)
SUBJECT USSR // PHYSCIS CARD 1 / 2 PA - 1571
AUTHOR KAGANOVoM.I.9 Ligic'I.M., TANATAROV,L.V.
TITLE Relaxation between Electrons and Lattice.
PERIODICAL furn.ekep.i teor.fis,31,fase.21 232-237 (1956)
IIssued: 10 / 1956
Here the'relaxation between the electrons of a metal and a crystal lattice
(phonons) is studied. The method employed for this purpose permits the determi-
nation of the heat transfer coefficient for any temperatures.
At first the quantity of energy (V) transferred by the electrons (per unit of
volume) to thelattioe in the course of one second is computed. The phonon
function changes as a result of the "creation" and "annihilation" of phonons.
Such processes are possible because the velocity of the electi-ons exceeds that
of sound. To the creation of a phonon (seen from the point of view of qnantum
mechanics) there corresponds the 6BRENKOV-like radiation'of sound waves (in
the classical sense) . The expression found for 0 is explicitly written down and
specialized for low and high temperatures. Furthermore, ft is computed for the
case that the difference of the temperatures 9 and T'of the lattice and the
electrons respectively is considerably less than T, and besides, for the case
T
equation one obtaines a connect4on between the current de a
4-4 J,
'
Card 1/2 r, the magnitic spin moment ff, and
the electrical field strength
The_Paramagn et1c Resonance and the pol.,4,,,

7- -5@
AUTHOR: LIFSBIT S, I.M. 56-6-3L/56
TITLE: -QU&ff V=___t1ie_07i77_0f Electrl c@_! Conduotl -i ty of Metals in a kAgaetic
Field. (KyantoTaya teoriya elektroprcvodnosti metanov r
magnitnom polev Russian)
PERIODICALt Zhurma Eksperim. i Teoret. Fiziki, 195T, Vol 32, Nr 6,
PP 1509-1518 (U.S.S.R.)
ABSTRACT: Theoretically a quantum-mechanical theory for the conductivity
of metals in a magnetic field is developed. The following individ-
ual deri'vationa are carried out: the kinetic equation for the
matrix of densitys the asymptotic conditions of conductivity on
strong magnetic fields, and the connection between the classical
and the quantum-mechaaical conductivity equation in the magnetic
field. (With 4 Slavic References).
ASSOCIATICK: Physical-Technical Institute of the Ukrainian Academy of Science
PRESEW= BI:
SUB11ITT0: 22.11-1956
AVAILABLE: Library of Congress
Card 1/1

L F 5 H ('T- 5,
AUTHORSi Lifshits, I. M., Stepanova, G. 1., 56-2-25/47
TITLE: A Note on the Correlation in Solid Solutions (Korrelyatsiya v
tverdykh rastvorakh)
PERIODICAL: Zhurnal Eksperim. i Teoret. Fiziki, 1957, Vol. 33, Nr 2(8),
pp. 485-494,-(USSR)
ABSTRACT: The present paper develops a method for the description of non-
equilibrium states of solid solutions with the specification of
a system of correlation function3for the dissolved atoms, with
the help of the method developed here the free energy of the so-
lution in the state of "particulary equilibrium" can be computed.
At the outset a formula is given for the free energy correspon-
ding to equilibrium state. The free energy of a sol-id solution is
a functional of the interaction of two, three... admixture elec-
trons. The free energy can also be represented as a functional of
pair interactions and polarization corrections of thirdo forth..etc
order. From theeEpression obtained in this way for the free energy
the chemical potentials of the solvent and the dissolved substance
can be d erived without dif f icalty. The next chapter deals- with
non-equilibrium states of solid solutions, at the same time the
free energy, the entropy and the correlation functions are compu-
ted. The authors determine as an example an explicite expression
for the non equilibrium free energy, if the nonequilibrium state
Card 1/2 results from tempering of the solution. The existence of a corre-

ki 56-7-14/66
AUTHOR LIFSHITS, I.M., KOSEUCH, A.M.
Tim On e Theory of the SHMNMV-DE HAAS-Effect.
(K teorii effekta Shubaikova-De Gaaza.- Russian)
PERIOYZCAL Zhurnal Eksperim. i Teoret. Fiziki 1957, Vol 33, Nr 7,
pp 88 - .100 (USSR).
ABSTRACT By the application of the general formulae by I. LIFSHITS,
Zburnal Eksperim. i Teoret. Fiziki 1957, Vol 32,
p 1500 the present'paper investigates the qua4tum-like oscil-
lations of the tensors of the electrical condtictivity 6PI3
and of the specific resistance. First the formulae for the
quantum-like oscillations of the conductivity tensor are
written down. Because of the structure of the integrals
contained therein the oscillating factors V@ich are of
interest here can easily be separated and therefore the
oscillations Adap can easily be expressed by the
oscillations of the magnetic momentum and by the value of the
classical tensor of.mobility.,
The oscillations of the condubtivit - At first the contri-
bution of a group of electrons with assummed dispersion law
to the oscillating part of the electrical conductivity if
investigated. Next, the authors change over to new variables.
Each group of electrons furnishes its contribution to
CARD 1/2

..CARD 2/2
On the Theory of the SHUBNIKOV-DE HAAS-Effect.
oscillations A . aP .
56-7-14/66
6aJ3.
The contribution of each zone is connected with
Mz only at a corresponding electron group. Also some
remarks are made concerning the amplitudes of the
The asymptotics of the oscillations of the conductivity In
strong magnetic fields. In this case amplitudes can be
developed asymptotically in a power series. The asymptotic
is here written down also foi@ the special case that FERMI'S
boundary iurface disintegrates into some closed surfaces.
The oscillations of the resistance: When experiments,are
carried out, not the tensor of the electrical conductivity
da13 bot the tensor-of the specific resistance is measured.
Therefore the oscillatory share 6f R C90 has to be determined.
The connection between CraP and qaI3 is given here. The
expression for Aq ap contains classical values and oscil-
latory shares. In conclusion the oscillations for some
concrete cases are compited (one zone of conduct'-vity and
two zones with N'I* = N-). (No Illustrations)
ASSOCIATION: Physical-Technical Institute of the Academy of Sciences of the
Ukrainian S.S.R. (Fiziko-telohnicheakiy institut Akademii nauk
Ukrainskoy SSR.)
sum=: 22-11-1956
AVAILABLE: Library of Congress.

56-4-18/54
AUTHORSz Yesellson, B.N., Kaganov, M.I., Lifshits, I.M.
TITLEs The Thermodynamics of the Phase Transition between He I and
He II in Solutions of Helium Isotopes(Termodinamika fazovogo
perekhoda He I - He II v rastvorakh izotopov geliya)
PERIODICALt Zhurnal Eksperim. i Teoret. Fiziki# 1957, Vol- 33, Nr 4,
pp. 936 - 944 (USSR)
ABSTRAM 1.) The phenomena that are connected with the transition from
He I and Ile II in solutions of helium isotopes are thermodyna-
mically (theoretically) treated. It 0is shown that this tranei-
tion, in the range from 1,35 to 3,0 K, is a second type phase
transition.
2.) It is shown that at the temperature of the second type
phase transition a point of sudden irregulatity should occur
in the derivative as well of the partial as of the total pres-
sure according to the temperature, which fact is experimentally
confirmed.
3.) It is shown that at T in dependence on the distribu-
tion coefficient, a point of sudden irregularity should be
observed in the derivative according to the temperature.
Card 1/2 4. )It is shown that at T;L a point of sudden irregularity

26-58-5-3/57
AUTHOR: Lifshits, I.M., Professor, Corresponding Member of the
_ffk_raifiT"a4n"4"S'"S_R -Academy of Sciences
TITLE: Quasi-Particles in Modern Physics (Kvazichautitsy v sovre-
mennoy fizike)
PERIODICAL: Priroda, 1958, Nr 5, pp 11-20 (USSR)
ABSTRACT: The dual nature of matter, corpuscular and undulatory, is
explained and a definition of particles is given: particles
can be considered as elementary excitations of quantum fields;
they are structural units of substance and at the same time
structural units of motion. In contrast to ordinary part-
icles, quasi-particles are carriers or elementary excita-
tions and motion, without being structural units of a me-
dium in which they occur. They can exist only within some
medium or "background" and cannot arise in a vacuum. The
law of dispersion for quasi-particles is presented and its
distinction from that of ordinary particles is explained.
As examples of quasi-particles, some of thbir types are
mentioned and their brief characteristics are given. Among
Card 1/2 them are: 1) phonons, structural units of motion of a

Quasi Particles in Modern Physics 26-58-5-3/57
crystalline lattice, i.e. individual waves which are carriers.
of elementary portions of energy and momentum; 2) Excitons,
elementary portions of electronic excitations in crystals,
whose existence was first noticed by Ya.I. Frenkell; 3)
Spin waves or ferromagnons, introduced by F. Blokh, element-
ary excitations in ferromagnetics; 4) Elementary excita-
tions in superfluidity of a liquid (HeII), which was dis-
covered by P.L. Kapitsa and explained first by L.D. Landau;
5) Conductivity electrons in met&ls, Possessing a peculiar
dispersion law different from that of ordinary electrons.
In addition to these types of quasi-particles, the author
mentions polarons, or polaron excitations in semiconductors
introduced by L.D. Landau and S.I. Pekar, without dwelling
on their characteristics.
There are 3 figures.
ASSOCIATION: Fiziko-tekhnicheskiy institut UkrSSR Akademii nauk
(Physico-Technical Institute of the Ukrainian Academy of
Sciences), Khartkov
AVAILABLE: Library of Congress
Card 2/2 1. Particles-Theory 2. Physics-quasi-particles

SOV/126-6-1-22/33
AUTHORS: Aleksandrov, B. K., Verkin, B. I'll Lifshits) I, M1, and
Stepanoval G. I.
TITLE: On the Possible Causes of the Non-uniform Distribu@@ion
of Admixtures in a Crystallising Casting (K voprosu o
vozmozhnykh prichinakh neodnorodnogo raspredeleniya
primesey v kristallizuyemom slitke)
PERIODICAL: Fizika Metallov i Metallovedenlye, 1958, Vol 6- Nr 1,
pp 167-168 (USSR)
ABSTRACT: In a paper published in 1956 by the authors (Ref,l) the
mechanism was investigated of purification of metals
from admixtures by means of zonal recrystallisation,
There it was assumed that in front of the crystallisation
front the conditions are such that solidification of the
melt does not take place; in this paper the possible
consequences are mathematically analysed of the non-
validity of this assumption, Numerical evaluation for
the system lead-tin (about 1% tin) indicates that for
this system a periodic "blocking up" of admixtures in
the solid phase can be anticipated. Injj@d, exposures
obtained by contact radiography of Pb-Sn castings
Card 1/2 showed a large number of transverse bands corresponding

SOV/126-6-1-22/33
On the Possible Causes of the Non-uniform Distribution of
Admixtures in a Crystallising Casting
to excess Sia admixture in these spots (Ref.1).
There is one Soviet reference.
AWOCIATION: Fiziko-tekhnicheskiy institut AK Ukr. SSR
(Institute for Ph@sics and TechnblcWAc.Sc. Ukr.SSR)
SUEMITTED: January 7, 195?
1. Metals--Purification 2. Metals--Crystallization
Card 2/2 3. Mathematics--Applications

24 (6)
AUTHORS: Lifshits, 1. M., Slezov, V. V. SOY/56-35-2-24/60
TITLE: Ow-t5e-K'inetics of the Diffusion Decay of Supersaturated
Solid Solutions (0 kinetike diffuzionnogo raspada
peresyshchennykh tverdykh rastyarov)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
Vol 35, Nr 2, pp 479-492 (USSR)
ABSTRACT: The forming of a new phase by means of a diffusion process
can be divided into two stages; The formation of seeds and
the development of seeds to grains of the new phase;
coaleBcence@@ of grains. In the present paper the authors
investigate the kinetics of the growth of seeds at the
beginning of coalescence as well as the coalescence process
itselfI taking account of the results obtained by other
authors (Refs 1 - 4), especially those obtained by Todes
(Ref 1). In the first chapter the problem itself is discussed
as such, the second chapter deals with the asymptotic
modification of critical dimensions, and in the third chapter
the asymptotic distribution function (p(LL,,r) is derived and
discussed. As an example for the application of the theory
Card 1/2 developed and of the asymptotic functions, the mechanism of

On the Kinetics of the Diffusion Decay of SOV/56-35-2-24/60
Supersaturated Solid Solutions
the sintering process is dealt with in the fourth chapter-
An appendix deals with the determination of the distribution
function at u> U in the neighborhood of the u -point@
0 0
There are 6 figures and 4 references, 4 of which are Soviet-
ASSOCIATION: Fiziko-tekhnicheskiy institut A-kademii nauk Ukrainskoy SSR
(Physico-Technical Institute)AS Ukrainskaya SSR),
Kharlkovskiy gosudarstvennyy universitet (Khar1kov State
Univers.-ty)
SUBMI12TED: March 24, 1958
Card 2,12

a4(3) .- SOV/56-35-3-20/61
AUTHORS: Azbell, M. Ya., Gerasimenko, V. I., Lifshits, I.
in Metals (K teorii
TITLE: On the Theory of Paramagnetic Reso ance
paramagnitnogo rezonansa v metallakh)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
Vol 35, Nr 3, pp 691-702 (USSR)
ABSTRACT: Paramagnetic resonance may occur if a metal is located in a
steady magnetic field H 0 and in a variable electromagnetic
field H1, in which case the following must apply to the fre-
quency of the variable field:tj Q 0M.2e%lt. The absorption
of the energy of the electromagnetic waves impinging upon the
metal under the conditions of paramagnetic resonance has al-
ready been investigated by a number of experiments (e.g. Ref 2).
The first theoretical investigation of this problem together
with the calculation of electron diffusion from the surface
layer was carried out by Dyson (Dayson) (Ref 3). The authors of
the prespnt paper developed a general theory of paramagnetic
Card 1/3 resonance in an earlier paper (Ref 1); it is based upon the

On.the Theory of Paramagnetic Resonance in Metals SO'1/56-35-3-20/61
solution of the equation for the electron density operator.
The alectrona are looked upon as a gas of' noninteracting
quasiparticles; for &(?) any dispersion law applien, and also
the direction of If 0 and the intensity of H 1 may be chosen at
random. In the present paper the authors, basing upon the re-
oults obtained by the preceding paper (Ref 1), investigate the
dependence of surface impedance on the angle of inclination of
the steady magnetic field to the metal surface, and further
also the influence exercised by the dispersion law on impedance,
and the case of sufficiently strong variable fields (resonance
saturation). The following cases are dealt with: 1) In the in-
terval A& there- are no open surfaces; 2) in Ar- there are open
and closed isoenergetic surfaces (F_(9) = F-), and 3) in 6E; there
are only closed isoenergetic surfaces. Calculations are at
first carried out for 6