SCIENTIFIC ABSTRACT RUMER, I.B. - RUMINSKA, A.
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December 31, 1967
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SCIENTIFIC ABSTRACT
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It is shown that the movement of a point in gravitational
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Vathematioal Ruvio" ~~~Zijrnal 1'. -sjkur. Troret. Fiz. 23, 35-48 (1952)_
14 lJo. 7
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. .
Aly August, 1953 This paper is theseventh of it str'cs r
ft? pirt V[ rce same
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7-75
urnal 22, 7,
(1952), dirse. Rev. 14. 606] concerned
_q&thematioal Physlos, with the development ofa 5-diptensionil gcnerally covariant
quantunt theory. The
thenry
i9 here applied to derive the
,
,
I wave-equatinn for the'electron interacting with an external
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ting t
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the list term, which is a direct
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,
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abou
strengths Fil. The author says noth*.ng I: the physical
conwquencec of Oils equation, The reviewer observps that
0
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moment equal to mintis one hilf of tile otdInary'liltnt'
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NI-ataA77q2W&jN rs, no. 6(RF, (1953). (Ru*.
dan)
This is a review artide. tracing the developtnent of the
idea of in analogy between optics and dynamics, suxdng
with Hamilton and ending with the author's 5-dimerudonal
theory [Almd. Nauk SSSRL Zurnal Eksper. Teoret. Fix. 23,
35-48 (1952); these Rev. 14, 706: and earlier papexv them
cited]. P. J I~Vsdn (Princeton. N.
v s
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SUBJECT USS~MATHEMATICS/Geometry CARD 1/2 PG 343
AUTHOR RUMER Ju-B.
TITLE Space, time and action.,
PERIODICAL Uspechi mat. Nauk 10, 1, 210-2121(19~55.)
reviewed 10/1956
This:is a detailed representation of a conference held at the Moscow Mathe-
matical Society. Rumer gives a survey on the fruitless triils to set up a'
general field theory which has not only a purely formal oombinating character
but also a physical substance. The introduction of general non-Riemannian
~spaces is rejected, since there is no physical principleaccording to which
a unique selection would be possible out of the large number of possible~
spaces. The introduction of.a fifth coordinate under remaining Riemannian
metric and the additional postulate that the metric potentials shall be
-independent of the fifth coordinate seems.to be very artificial. The five-
dimensional space proposed by Einstein and Bergmann which is closed with
respect to the fifth coordinate and possesses a microscopical period in it
is not satisfying since there is no physical sense of the introduced.fifth
coordinate.
A possibility of interpreting this fifth coordinate as an action and to
interpret its period as the Planck constant is given.by the five-dimensional
optics to which the author has dedicated several publications (1952-1953).
The problem of the classical relativistic mechanics concerning the motion of
USSR/Theoretical Physics Quantun Mechanics. B-4
Abs Jour Ref Zhur Fizika, No 4, 1957, 8407
.Author Pokrovskiy, V.L., Rumer, Yu.B.
Inst : Western Siberia ~r~~~chAc~emy of Sciences USSR.
Title : Remarks on the Pauli Theorem Concerning the Connection
Between the Spin and the Statistics.
Orig Pub , Zh. eksperim. i teor. fizihi, 1956, 31, No 1, 337-338-,
Abst:7act The proof given by Pauli (Pauli, W. Relativistic Theory
of Elementary'Particles, In, 1947, Supplement) for a
theorem concerning the connection between the spin and
the statistics is based ou a consideration of irreducible
representations of the tensor and spinor quantities in
transformations of a Lorentz group vith a determinant
equal to unity. The authors give a proof of the above
theorem in vhich.it is shown that it is enough to res-
trict oneself to a consideration of the transfo tion
of the quantities with general inversion (inversion of
al! four.coordinate axes).
Card 1/1
U t'41 E_
SUBJECT ~USSR / PHYSICS CARD 1 / 2 PA
AUTHOR POKROVSKIJ,V.L., RUMER,JU.B.
TITLE, On PAULI'S Theorem concerning the Correlation between Spin and
Statistics.
PERIODICAL gurn.eksp.i teor.fis, 31, fasc. 2, 337-338 (1956)
Issued: 10 / 1956 reviewed: 11 / 1956
The proof of this theorem offered here shows that observation of.the transfor-
mations of the quantities on the occasion of the inversion of all coordinate
axes (general inversion I) is adequate.,Furthermore, this proof stresses the
close connection between SMINGERIS ideas and those of PAULI. On.the occasion
of thetransformation of.the general inversion for any vector A it is.true that
IA:= - A In the case of the general inversion the tensors of Ieven rank T 2n
therefore remain invariant ("class,+"), whereas the tensors with odd,rank T 2n+1
change their sign ("class
Rere the transformations of spinors on the occasion of a general inversion are
azudied. While the,general character is maintained, only spinors ofthe first
rank are investigated. On the occasion of.reflection on to a twodimensional sur-
face with the normal vector ak,the spinor U is transformed according to the
following rule: Ut AU, A U-"~ . Here A2 =akak*
a = 'akr5rk ~ A
The bilinear quantities which are composed of U and behave on theoccasion of
spatial reflections like tensors, but in the case of timereflections they be-
have like pseudotensors. The definition of therules of the.reflection of
Zurn.eksp.i teor.fis, 31, fasc.2, 337-338 (1956) CARD 2 2 PA 15o6
spinors can, however, be modified in such a manner that the bilinear tensors
constructed from them behavelike tensors both in the case of spatial and of
timeTtransformations. This may be attained in extending the conception of com-
Plex conjugation by causing tyro quantities to correspond to each spinor,U:
lluand.U,". For this purpose a "two-leaf spinor space" is introduced, where the
transformations which change.or do not change the sign of time correspond to
the two leaves:U - UK on the first leaf, *u u* for the second leaf. (The
star on the right here means "complexly conjugating"). Next, the transformation
rules for the conjugated spinor are given.,
The transformation of the inversion is a reflection of all four coordinate
axes. Therefore the matrix of inversion in our representation is equal to:
The eigenspinors of the inversion operator can belong to the,
iF5 : IU - iJ5U
two classes 11+11 and 11-11.
Next, the commutator and anticommutator relations for the tensorial and spinorial,~
quantities are studied. Here A and U are to be dissociated into plane waves.
11ext, the tensors of even and odd rank are constructed which depend quadrati-
cally n AM (t) andV(t)
0 A U*(�). The energy density cannot be.positively
defined in the case of the.spin.,,or field, but in the.case of the.tensorfield
the charge: density cannot be,positively defined.
INSTITUTION: Westsibirian Branch of the Academy of Sciencein the USSR.
A- 3
AUTHORS. Rumer, Yu. B Doctor, of P4ysico -mathematical 30-10-16126,
Sciences, Krivoshchekov, G. V.
TITLE: The Siberian Institute of Radiophysics and Electronics
(Sibirskiy institut.radiofiziki i elektroniki)A
.PERIODICAL: Vestnik AN SSSR, 1957, October, Nr 10, pp.108-11O (USSR)
ABSTRACT: Scientific research Is being c6nductedat the Siberian.Institute
of Radiophysic6 and Electronics in the_ following, fields:
a
Theoretical physics (applied electivdyn&nics ) L
b Electronic phenomenons, at super-high frequdncies.
l
c Electronics.of.cathodes.
Physics of gas-discharges.
Yethods of mathe katical physics were developed and,the folloving problems studiedt
Theory of directional antennas.
1
2 Studies of distribution of the currents in aerials with
~
optimum radiation pattern.
3) Theoretical investigatfon of wave guides the cross-
section of which changes slowly.
Development ofa new theory of the magnetron.
5 Experimental determination of a new inversion process of
fl
Card 1/2 the conductivity of diodes. *[ organized from the Section of.
Ibchnical Physics of the West-Siberian Branch of the AS USSR]
The Siberian Institute of Radiophysics and Electronics 30-lo-16/26
6) Focusing by.static magnetic fields is used for achieving
a we 11 collimated electron ray.
7 ) Construction of a Inexperimental generator with electronic.
tuning in the decimeter range.
8) Determination of the mechanism of the cathod of. distillation
with thermoelectronic emission. The experts succeeded in,
designing cathods which show a current density of 2a/CM2,
at a cathode temperature of no more than 9000C.
AVAILABLE: Library of Congress.
Card 2/2
AUTHOR POKROTSKIYV.L.t RUMER~Yu.B. %-7-47/66
TITLE On the Problem of d-oneervatioh of Parity in the Theory
of Elementary Particles.'
(K voprosu o sokhranenii ohetnosti v teorii elementarnykh
chastits.- Russian)
PERIODICAL Zhurnal Eksperim. i Teoret. Fiziki 1957, Vol 33t Nr 7,
pp 277-279 (USSR)
ABSTRACT The fivedimensional. optios~suggested by Yu,B. NUMER
(Iseledoyaniya Yo 5-OPtike, GTTIt 1956y Usp. mat.nauk,
Vol 8, 6,1953) furnishes a natural classification of the
phenomena In which parity is either conserved or not. The
fivedimensional option in based upon the newly discovered
extensive symmetry of the equations of olassioal mechanics
and the quantum mechanics in spacep time, and effect.
In fivedimensional option the coordinates, time, and the
pffects are comprised within a fivedimensional metric space
which is closed topologically in the,coordinato of of
effoot.with the period h (Plank's constant). In a corresponding
manner momentum, energy, and charge are combined to a five-
dimensional vector, for which a uniform law of conservation
is formulated. Also in,the fiTedimensional theory the
CARD 1/2 Lagrangian of interaction must be built up from the wave
on the Problem of Conservation of Parity in the Theory.
of Elementary Particles. 56-7-47/0
funotions of the interaoting partioles. The authors bar*
enumerate all possible produota of spin oomponentag they
canbe subdivided into irreduoible groups. Ilso in the five-
dimensional spaos a spinor its a quantity with 4 oomponents.
In oonoluaion the emission of a boson by a fermion and the
deoay of a boson into two fermions is studied inshort.
(No Illustrations)
ASSOCIATION: *wWibVian Branoh of the koademy of Sciences of the USSR.
(zapadno-Sibirakiy filial Akademii nauk SSSR.- Russian)
PRESENTED BY; -
SUBMITTED: 14 3- 1957
AVAILABLE: Li~rarjv of Congress.
CARD 2/2
16(l) PHASE I BOOK EXPEOrrATION SOV12660
Vaegayuza" matematiche4kty 6"Yezd. 3rd, Moscow, 1956
Trudy. t. ki Kratkoye boderahanlya saktalonnykh 4okladov. Doklady
inostrannykh uchenykh (Transactions of the 3rd All-Union M3tht"-
tical Conference in Moscow. ~ol. 4z Summary or Sectional Reports.
Roports or Porelgn Scientists) Moscawo Izd-va AN SSSR, 1959.
247 P. 2v200 copies printed.
Sponsoring Agency: AkAdomlya nauk SSSR. Matematicheekly tnatttut,
Todh. Zd.z. G.N. Shavchanka; Editorial Board: A.A. Abramov, V.0.
Baltyanskiy A K Vasiltyev. 5.7, Medvedev, A.D. Ky4hkls. 3.M.
lllkoll.kly JR.;p: Ed.), A.G. Postnikov, Yu. V. Prokhorov, X.&.
Rybnikor, P. L. Ullyanov, V.A. Uspenskly, N.G. Chetayev, 0. Yo.
Shtlov, and A.I. Snirshov.
PURMIl 71gla book to intended for mathomatIcisna and physicists.
COVIRAGEt 'The book In Volume TV of the Transactions of the Third Aal-
Union Mathematical Conferencet held In June and July 1956. The
boo a In two main parts. The first part contains sum-
nartan of the papers presented by Soviet scientists at the Con-
farence that were not included In the first two volumes. The
second part contains the text or reports submitted to the editor
by rwn-Sovict Ocitnttats. In those caves wnen the non-Sovist sci-
*ntist did not submit a copy or his paper to the editor, the tItt*
of the paper Is cited and, It the paper was printed In a provious
volume* reference is %Ads to the appropriate volume. The Papers,
both Soviet and non-Sovlot, cover various topics In number theory.
algebra, differential and integral equations, function W%*orr.
functional analysis, probability theory, topology, =tftematlcal
problems or mechanics and physics, computational mAtnewAtics,
imathematIcal logic and the foundations or mathematics, and the
history of mathematLes.
V.3. Buldyrav (LanInTr441-X-X--
quantita.
QvRMUdn
(rAnin6r1Ldj, I.A,~~~Uninzrad
stu ;Vag from
OV the noniYUTOnary diffraction of
w
"
,
UrIcal and cylindrical regions
mph t20
YS%*rfi=J1Uk--1-Tj1--(XOscow). The turning to xero or rancr~
_
swalzed charges In theories with point Interaction L20
Pive-dimensional optIce
Sku 'cow). On the theory or the reflection
elastic wave. from & curvilinear boundary L22
Relativistic mechanics and
-TW6-*-1iotr*4Yn&mIQ* of continuous media L22
L.Sh. (Stall"Abad). Singular functions of quan-
M-04 h
j*--T,
.h
!
tun field te;QrFY-Tn- n-dimenelonal psau4c-gualldean apace L24
Card 23/3 4
PHASE I BONK EXPLOITATION sov/3865
Landau, Lev Davydovich, Academician, and Yuriy Borisovich Rumer, Professor
Chto takoye teoriya otnositellnosti .(What is the Theory of Relativity?)
Moscow, Izd-vo "Sovetskaya Rossiya,",1959. 61 p. 15,000,copies printed.'
Ed.: Yu.E~ Berenson; Tech, Ed.: N.L. Yusifina.
PURPOSE: This booklet is intended for the general reader interested in the theory
of relativity.
'COVERAGE: Ths booklet is a popular presentation of thebasicconcepts of the
theory of ro=lativity and their role in modern physics. Various physical
phenom-na.are explained in terms of the theory,of relativity by using
exaxples from everyday experience., No personalities are mentioned. There
are no references.
TABLE.OF CONTEATS:
Preface
Card 1/4
What is the Theory of Relativity? SOV/3865
Ch. I. Relativity to Which We are Accustomed
Does every statement make sense? 5
Right and left 5
What in it now - day or night? 6
Wb,3 is bigger? 6
The re-letive seems absolute 8
The absolute seems relative 8
"Comnon sensen attempts to protest
Ch. II. Space is Relative
One and the same place or not 11
How dries a body actually move? 12
Are d1l jv)ints of view.of equal value? 13
Position of rest is found 14-
The laboratory at a position of rest 15
Is the train moving? 15
Position of rest definitely lost 17
Law of inertia 18
Velocj-ty is also relative 19
'Card 2/4
What Is the Theory of Relat Iivity? 80~/~865
Ch. III, The Dr-a of Light
Light Is not propagated instantaneously
IsAt possible to change the speed of light? 20
Light and sound
Principle of the relativity of movement seems shaky 22
The "cosmic ether" 2k
A difficult position is created 25
Ercle-rience must decide 25
Principle of relativity triumphs '>7
L
Cat of the frying pan into the fire 27
Ch. IV. Tim is Relative
Is there really any contradiction? 30.
Let's tale:e the train 51
"Common sense" put to sham 32
7he fate of space befalls time 3k
Science tr-;unrphs 35
Speed has a limit 36
Earlier and later
Car,! 3/4
- ---- -------
What, to the Tbeory of Relativity?
SOV13865
Ch. V. Clocks and Rulers are Capricious
lr~~tls take the train once again 40
C-',,:,c!k-- systematically lose time 42
The time machine 43
Jccrney to a star 45
Objects shrink .48
Speeds are capricious 51
Ch. V-T. Work Changes Mass
Masa 54
Mass increases 55
How nach does a gram of light cost? 56
SIMUftng up 58
AVAILABLE: Library of Congress
Card 4A. JA/cdw/mas
8-10-60
24(5)
AUTHOR: R=er,* Yu. B. S(y7/56-36-6-38/66
-----------------
-
TITLE: -------
Action as Space Coordinate. X (Deyetviye kak koordinatEL
prostra:nstva. X)
PERIODICAL: Zhurnal eksperimental?noy i teoreticheskoy fiziki, 1959, Vol 36,
Nr 6, pp 1894 1902 (USSR)
ABSTRACT: The present paper is a further part of a series of publications
begun by the author with his investigations in the field of five-
dimensional'optics-(Ref 1).' In this earlier paper a monograph
published by GTTI, 1956) conditions, definitions, and methods of
thisfive-optics (3 space- I time- I action coordinate) are
established. In the-present paper the author discusses the
difficulties arising in connection with the formulation of spinor
equations in five-optics. It is shown that the requirement of
invariance with respect to physically permissible transformations
leads to correct spinor equations. The requirement of physical
-perm:Lssibility separates subgroups of general transformations in.
the four-dimensional space-time and gauge transformations from the
general transformation gr6up, of five-dimensional space. Restridtion.
of the group of permissible transformations does ly no mqn~ssignify in
Card 1/2 principle invalidity of -the five-dimensional conception. 'The most
Action as Space Coordinate. X SOV156-36-6-38166
important feature of the five-dimensional theory is the periodic
dependence of the fields on the action coordinate with a period of
h. This fact and also the consequences from it cannot be reduced to
a 'simple unification of the four-coordinate point transformation
group and 'the gauge transformation group. An essentially five-
dimensional effect is also the existence of the scalar )_(-field
whose appearance in the field theory of a charged material point
yields formulas which differ from those of the modern theory of
gravitation. There are 2 36viet references.
ASSOCIATIMI: Institut radiofiziki i elektroniki Sibirskogo otdeleniya Akademii,
nauk SSSR (Institute for Hadiophysics and Electronics of the
Siberian Branch of the Academy of Sciences, USSR)
January 20, 1959
Card 2,12
----------
24(8) SOV/56-37-2-49/56
'AUTHOR: Rumer, Yu. B.
TITLE; A SimpleModelin,the Theory of Superconductivity
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959,
Vol 37, Nr 2(8), PP 578-580 (USSR)
ABSTRACT: In the present "Letter to the Editor",the author points out that
Cooper's phenomenon is the key leading towards understanding
superconductivity-This phenomenon is based upon the fact that
near the.Fermi boundary two electrons with opposed momenta
and spins may form a bound state. Such states occur as bosond,
which produce a condensate at low temperatures. It is now pos-
sible, like in the theory of-..superfluidity by Bogolyubov, to p
build up a theory of superconductivity on the basis of the
boson condensate model. First,,the '9'bneral Hamiltonian, describ-,
ing production and decay of the bosons is written down, which
is simplified under the assumption that the:majority of the
bolsons is contained in the condensate. Bogoyubov's theory is
then followed. The here developed mathematical model is shown
actually to describe superconductivity if W(O) 21~ >,O is
Card. 112 ~.the chemical potential).
PHASE I BOOK EXPLOITATION SOY/4770
Rumer, Yuriy Borisovich, and M.S. Ryvki-n
Teoriya otnositellnosti (The Theory of Relativity)'Moscov, Uchpedgiz, 1960.
211 p. 20,000 copies printed.,
Eds.: A.A. Gobanov, and Yu..N. Drozhzhin,* Tech. Ed.: V.I. Korneyeva,
PURPOSE: This book is intended for students of pedagogical institutes, teachers
of physics in secondary schoolsland for general readers,interested in modern
physics.
COVERAGE: The authors discuss the fundamentals of the theory of relativity, and
of its most important appli .cations (quantum theory of light, some problem of
the theory of accelerators, ener6atics of nuclear reactions, etc.) The contents
of the book correspond basically to the program of the course of theoretical
physics at pedagogical institutes, except for the problems discussed in Ch. IV
(The Theory of the Field) vhich transcend the requirements of that course. NO
personalities are mentioned. There are no references.
81676
S/056j6O/O38/06/12/012
B006/BO5.6
AUTHORs Rumer. Yu. B.
TITLE: Negativ And Limiting Temperatures
PERIODICAL- Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1960,
Vol. 38, No. 6, pp. 1899~- 1902
OD
TEXT: On the,basis of a at.udy of the state function Z q(E)e-M dE
0
defined on the entire complex plane (where 9(E) is the spectral density
of the energy of the system)p it is shown in the present paper that the
possibility of the existence of negative and limiting positive tempera-
tures in a thermodynamic system is interrelated with the analyticity of
the statistical sum as a function oLf the reciprocal temperature in the
mathematical apparatus of statistical physics. This result is demon-
strated by two examplest 1) by the'example of the Ising model of a
linear chain consisting of n nodes, where Z(A) - (2ch j,;L)n holds for a
large n; J is theinteraction energy of two neighboring unidirected spins.
Card 112
81676
Negative and Limiting Temperatures, ~'3/056/60/038/06/12/012
B006/BO56
it is shown that the existence of positive and negative Curie points
(corresponding to transitions into the ferromagnetic and antiferro-
.magnetic states) is characteristic also of the Heisenberg model...
2) by the example of a gas of non-interacting particles in an external
field with a logarithmic asymototic behavior of the potential. For this
system the existence of a limiting temperature is proved, beyond which
it cannot be heated. The physical reason for this is the fact that,
because of the slow growth,of the potential with an energy increase, the
particles part from one another widely, and their kinematic energy is
lor-.compared to their potential energy.,There are 2 references:1 Soviet and
I Americana.
ASSOCIATION.- Institut radiofiziki i elektroniki Sibirskogo otdeleniya
Akademii nauk SSSR (Institute of RadiOPhYBICs and Elea-
tronics of the Siberian Branch of the Academy of Sciences,
USSR),
SUBMITTED: February 16, 1960
Card 2/2,
'50
46
3
S/05 62/042/002/039/055
AUTHOR: Rumer, Yu. B.
TITLED Invariant formulation of the gravitational wave f ield theory
PERIODICAL3 Zhurnal.eksperimentallnoy i teoreticheskoy,fiziki, v. 42,.
no. 2, 1962~ 577 - 583
TEXT; Einstein's theary of gravitation is re-formulated on the basis c f the
gravitation field strength tensor F iklm'~ which vanishes in Euclidean space.'
Th-E- Riemann curvature tensor R. Ls split up in two ten-component. tens,:~res
klm
Such that R M F The tenso-r M of matter can be ex-
iklm ik.Lm iklm' iklm
pressed by the field source and metric tensors. It vanishes when there
are no sources, The field equations have.the form of Bianchi identities
Vjhen the sources are given,- F4klm as well as,the mezri.c.tensor.can be ca'!.~'
c,,)Iated from the field equa ti 6ns. With the help of this formulationwith
-ish a theory of weak gravitational waves in
Fiklm it is possible tc.e5tab-
which a gravitational wave is described by two five-component ten3ors H'j
Card 1/2
3/056/62/042 /002/039,/05c,
Invariant formulation BlO8/BlO4
and E,,,~p similarly as an electromagnetic wave Ls described by two thre~!--
component ventors, H and There is I Soviet reference.
'ki Sibirskogo otdeleniya
ASSOCIATION: Institut radiofizik4 i elektroni
Akademia. nauk SSSR (Institute of Radiophysics and Electronics
of the Siberian Depart-ment of the A-ademy of Scizences USSR)
SUBMITTEDs September 1, 196!
Card 2/2
ACCESSION NR: AR~039897
SOURCE: Ref. zh. Piz., Abs 4BI31 6q
AUTHORS: Rumer, Yu. B.
TITLE: Invariant formulation of the gravitational wave field theory
CITED SOURCE: Uch.. zap. Novosib._gos. ped, In-t. vy*p. 18, 1963,
-3-8
TOPIC TAGS: gravitational wave, radidtloln~i wave tbeory,-relativit'"
TRANSLATION., The special case of gravitational radiation,is aingle
out with the aid of the requirement that no field so-urce6-16-kist in*-.;
side the space-time region in question. The role of field equation
is played by the Bianchi identities, which assume in the weak-field
approximation a form analogous to the Maxwell equations for the
electromagnetic field in vacuum. The author proposes tc,regard this
analogy as the starting point when studying the nature of gravita-
tional radiation. B. Vavilov
-4, 1.- -
7
1/2
.,:.Card
SOO y T il-13-Y -103ifov'C"i ggltt,41-311; I B. 9
~nz-nt- NIKILWKEVICH, T,".%, red.
MULT4j,-T;SKLY, V.V., retse
pro
e _-;',.ty vith raphi,- -ifal,
LE-ements of the Lheory of r latt 9
Na-liala tearil oulositellnost'l s g-rai*icheSkjj-,~4 drik-azatell.-
va, Pr.) sve shc hen!=.,. 196z.. P.
stvami~ Mosk
ACCESSION NR; AP4042400 S/0056/64/047/001/0278/0293
AUTHOR: Rumer, Yu. B.
TITLE., Thermodynamic averages.for an infinite plane Ising lattice
SOUT'-'E: Zh. eksper.-i teor. fiz.,. v. 47 no. 1, 1964, 278-293
TOPIC TAGS: statistical function, crystal laftice, magnetic moment,
thermodynamic function, spin, correlation techni
que
ABSTRACT: The investigation is an extension of the work of Kaufman
and Onsager (Phys. Rev. v. 76, 1244, 1949) devoted to the calcula-
tion of thermodynamic averages for an infinite two-dimensional Ising i
lattice. It is shown in the present',paper that an alternate variant
of calculation which uses a different matrix for the evaluation of,
the partition function, yields the same result. The variant pro-
posed in the present article is shown to be more convenient for the
derivation of'the Onsagerformula for the spontaneous magnetic
1/2
Xv
KANASH, S.S., akademik; MALITSEV, A.M.; VILASOVA, N.A.; PASHCHM&O. %.M.;
ROWAROV5XIT, S.Yu.; MAUTBR, P.M.; MOKETRYA, Te.A.; KLTUTEV, G.A,.;,
BURYGIN, V.A.; SHLSYXM, A.I.;I-RM.-J~A,;_- ROMOV, I.D.;
AVTONOHOV, A.I., otv.red.; MUKRAMEDZHANOV, M.V., akademik, glavnyy
red.; RTZHOV, S.H., ekBdemik, zamestitell. glavnogo red.; ALIMOV9-
R.A.. red.; DABADAUT, A akademik, red.; DZHALILOV, Kh.M., kand.
ekon.nauk, red.; YABDaRK0. V.Te., skademik, red.; ZAKIROV, K.Z.,
akademik, red.; MANNANOV, N.M., skademik, red.; NABIUV, M.N.,
skademik, red.; SADTIOV, S.S., red.; TOGOTEV, I.N., kand.ekon.nauk.
red.; TAKHONTOV, V.V.9 red.; KURANOVAI.L.I., red.izd-va; RAKHKANOVA,
M.D., red.izd-va; BARTSETA, V.P., tekhn.red.
[Cotton] Khlopchatnik. Tashkent. Vol-3- LStructure and deve
lop_
ment of cotton] Stroenie ILrazvitie khlopchatnikq. 1960. 402 p.
(MIRA 13:10)
1. Akademiya nauk Uzbekskoy.SSR, Tashkent. 2. Akademiki Uz=. (for
Kenash. Mukhamd2hanov. Zakirov, Hablyev). 3. VsesoYaznays akedemiya
sel'skokhozyaystve=3rkh nank lmeniLV.I.Lellins (for Kanash) , 4. TSen-
traltnaya selektsionnayaLstentsip Voesoyuznogo nauchno-is,31edovatell-
skogo institute khlopkovodstva Uzbekskoy skademii sel'skokhozysYStven-
nykh nauk (for Kanash). 5. Tashkentskiy Sellskokhozyaystvennyy insti-
tut (for Kallteev, Shleykher). 6. Institut genetiki i fiZiologiiL
rasteniy AN UzSSR (for Vlasova, Kauyer, Klyuyev, Rumi, Romanov).
(Continued on next card)L
USSR/Cu!tl;.r,,.'l_0. Tccliniccca,
2
Lb s Jour Diol., ITj 7 39
Imt1lor Vlasova, 11.1
Lis t :~3 U,-,SSR
Titli-, Lifll.Lmcc o-f t", c cz~OL Qualituy'Of Tl_-~Il
7
and
nika i trTv. 1,
Ori !Vb V S7,.: Vorr. fi zi.31.
I_Ilas-_,-_~i-.,.;, X11 UzSSR, 195-1, 123--!41
i-:l 1951--1053 s'. _vr,J t'--at -,.:ore po-JIL-n 'CU'-~3 arc
lObstract L;tLej Z3 7_fte,
rrjlr-,l abinflaut of flowcrs by a mix~ur_
s f Cuff -_a! _1-~~t t, --m-1 al
All at '0311 ima~ioll wit'l Llaxal 11-:1
a i:a7T0j:a1)1,.; inflU,;!'_C- J-.1 -,';'-L i:ruit fonn'ica;
a li..iit,J ou-, causk:s lar uc-~ zle.~ddiui:; of mrar~_I~s.
q?uaintity :,f su_Cs was f orn2d. 1:rya I J.
C,-.rd 1/2
102
So:, East European Accesslon Vol. 4, No..3, March 10,57
3914-18
S/057/62/032/008/007/01),
B104/B102
AUTHORS: Fedorchenko, V. D., B. N.i Muratov, V, I., and
Chernyy,,B. W., (Deceased)
TITLE: Low-frequency plasma oscillations in a magnetic field
PERIODICALs Zhurnal tekhnicheskoy fizikil v. 32, no. 8, 19620 958 966
TEXTt The experiments were made in a longitudinal magnetic field of
200 - 300 oersteds (Fig.,l). The diameter of the electron beam.was 2 cm,
its length 65 amt the energy 12 kevl,the pressure 5#10 ~-7 - 5~10 -5 E9
~The relation oj~,GFM.exists between the circular frequency t4, the, osciila-
,tions occurring,in:the collector circuit,(100 kc/sec).of the particle
-6
sity n and the ion mass. M. The-oscillations mainly occur at 10 mm Eg.
_7
The oscillation stability is increased by reducing the pregsure toll,~
0_7 -5
mm Hg, and at.2 10 1 mm Rg these oscillations vanish*. i~They are due
to a high-frequency noise caused by the electron beam. If-the noise is
suppres-sed at the'end 6f the electron beam the oscillation in the'
collectorcircuit vanishes. 'The same oscillations are.produced by a weak'
Card 1/2
A. RUII~KR, Ordinarius, Departmew for Correction of Defects of Speech,
Vofc~ ind Hearing; Kraj Hospital with Polyclinic, Otolaryngology Section,
ifead (vadouci) V RAJNFR, MD (Krajska. nemocnice s poliklinikou,
otataryngologick; addeleni, Oddeleni pro napravu vad recf, hxAsu a
sluchu), Ostrava.
"Re-Education of Hearing in Children."
Prague, Casopis Lekaru Ceskych, Val 102, No 19, 10 Ma7 63; pp 531-532.
Abstract : Brief historical review of the 20th Century development of
the concept of deafness; peripheral sound analyzers and cortical ceptive
vechantsms. Author advocates preventive efforts by Increasing.screenin.0,
among infants; a nursery has been established'for hard-of-hearing chilt-
d--Cr,; rransistorized hearing aids~are used at I year of age.and
Six Cz~-ch and I VIestern reference.
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*WL Catalytic Ilydrottenation of Cyclopentane Ilydrocstba"s
AccompmnW by RhW Cleavage. VIL Hy moo
Methy1c)-clopentane In the Pr~ce iq4ttlizz,
Chwcoml or Nickel on Alumina. (In Russian.) B. A.
Kazanakii and Z. A. Rumiantxeya. Bulletin of the 0
Academy of Sciences of U.SX.R.,Sectiort of Chemi-
066
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