SCIENTIFIC ABSTRACT KUKAN, E. - KUKARKIN, A.S.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000827230006-3
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 12, 2001
• Sequence Number: 6
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

BELADI, I.; KULAN, E.
Haemadsorption viras isolated from a child with res-piratory disease.
Acta virol.Engl.Ed.Praha 4 no-5:323-325 S160.
1. Microbiological Institute of the Medical University, Szeged,
Hungary. (VIRUSES)
(RESPIRATORY TRACT IMOTION in inch & child)

BELADI, Ilona--KMI, Esztqrj_MZCS, I.; SZOIWSY, E.
Preparation of primary human amnion tissue cultures. Acta microb.
hung. 7 no.3:307-311 160-
1. Institute of Microbiology, University Medical School, Szeged.
(TISSUN GULTUn)
(AMNION)

MECS, I.; SZOLLOSYO E.; KUKAN, Eszteri 13EIADI, Ilona
Aetiological and epidemiological studies of poliomyelitis in Szeged,
1956-~-1959. Acta microb. bang. 8 noltl5-19 161.
1. Institute of Microbiology, University Medical School, Szeged.
(POLICHYELITIS epidemiol.)

SZOLLOSYS E.; BFIADI, Ilona; KUKAN,,_9sz-t-er; AGOSTON, Eva; JANOSSY) G.;
MILE, Ibolya
Virus excretion and antibody response of children immunized with
monovalent or tft-valent live poliovirus vaccines. Acta paediat.
acad. sci. Hung. 3 no.1:33-39 162.
1. Institute of Micobiology (Director: Prof. G. Ivanovics), University
Medical Schoolt Szeged, and Public Health and EpidemiclogicL Station
(Head Physician: T. Vetr6),, Szeged.
(POLICMYELITIS imminology) (POLIOMMLITIS VIRUSES)

HUNUARY
, M CSI, Ilo , p 1, 1 lya;
BELADI, Ilona, KIdIAN, Agoston, KUKAN,_Eqther 1U na APA bo
Institute of Microbiology (director: IVANOVICS, C.) and Department of
Ophthalmology (director: KUKAN, F.), University Yedical School, Szeged.
[original language versions not given].
"Etiological Relationship of Adenovirus Type 8 to the Keratoconjunctivitis
Epide-mic in Szeged."
Budapest, Acta Microbiologica Academiae Scientiarum Hungaricae, Vol X. No 1,
1963, pages 59-63.
Abstract: [English article, authors' English summary modified] Twelve strains
of adenovirus type 8 have been isolated from 52 selected, early cases of
keratoconjunctivitis with pronounced symptoms, during an outbreak of epi-
demic in Szeged, which afflicted over 1500 persons. Among these cases, a
four-fold or greater increase of neutralizing antibodies was found a.gainst
the isolated agents in seven out of nine pairs of sera tested. A similar
rise of antibodies was registered in twelve out of fifteen paired sera
obtained from patients afflicted with the disease where attempts to isolate
the virus were negative. All Western references.
1/1

BELADI, Ilona; KAW, A.; I~M"Aqtber; MUCSIp Ilona; PAPAI, lbolya
Aetiologic relation6hip of adeaovirus type 8 to the epidemic
of keratoconjunctivitis in Szoged.-Acta microbiol. aced. sci.
Hung. 10 no.1:59-63 1631.
1. Institute of Hicrobiology (Director: G. Ivanovicx) and
Department of Ophthalmology'(Director: F. Kukan) University
Medical School, Sze ed.
~KWTOCONJUNCTIVITIS)
(ADENOVIRUS RWECTioirs)

f, -n f a--alnfluanza tyl, 3 virus In RFLa n~~JJs:.
virol Pl. hst5 IE',.] 8 no .4,
. ( a n 383 J1 164.
inntitutr., of Microbiology of the Medical
z vi-rd
p Hunr"iry.

HU1113ARY
41 DI, Ilona, BAKAI, Marta, YUC3I, Ilona, KUKAF, Dizt(-Ir;
1-
iv ed, Institute of MicrobioloEy (d`rector: IVAI ICS,
r ity of Szeg
ri.) (Szegedi Orvostudomanyi Egyetem, Fikrobiologiai Intezet).
"Study of the Pffect of Flavonoids and Related Substances IL. The Effect of
,~uprcetin on Different Viruses. 11
Budapest Acta Vicrobiolo!.,ica Acadomiae Scientiarum Hunparicar;, Vol XIII,
No 2, 194, paFes 113--l-19--
Abstract: [English article, authors' English summary modified] The effect
of quercetin on different viruses has been studied. Herpesvirus hominis,
gerpesvirus suls, -tYPO 3 Of the parainfluanza virus and the Sindbis virus
were found to be sensitive to quercetin. The sensitivity of type I pollovirus
was mo6erate while types 2 and 3 of the poliovirus and tyPes 3 and 4 of the
ade-nov` ruses were completely resistant. Being. active only against the extra-
A.
cellular virus, quercetin was considered to have a virucidal effect. The
effect of mo.-in on Herpes suis was identical with that of quercetin while
rutin was almost. completely ineffective. ) Hungarian, 14 Western references.
[Manuscript received 27 Oct 65.1
1/1

FOLDI , M',, , (1r ~ , dr. I SZEG11Y, G. , d T . ; G,-'*LL1"1' .Tj A Iljr-'~~! FMA, N
dr.J P0111"RA1, M.;' ij-.1 ZOLTAV, O,T., iz-,; VARC,11&, L,,
Anatomical, hiatological and experimental data on thr) fluid eir---ulation
of the eYe. Orv. hetil. 103 no.38:1789-1792 23 s 16-1~
1. Szogedi Orvo.-tudxrLanyj 1ELryetem, 1h Nlihl In 11k; ~' szeg~fllrlika fj-,
Anat.wlzd Inte-zat.,
(""YL PROTEINS) (LYMPHATIC S-13TEII)

KUKANOV, Adollf Aleksayevich
(Way to the heart; a reporter's notebook]Doroga k serdtsu,-
repoitazh. Tallin, Estonskoe gos. izd-vo, 1962. 87 p.
(MIRA 15:12)
(China--Description and travel)
(Europe, Western-Description and travel)

68026
SOY/155-58-6-28/36
AUTHORt Kukanov, A.B.
TITLEs O`-n the Question Concerning the Polarization of Electron 'Navea
Under Reflection on a Plane Metallic Surface
PERIODICAL: lauchnyye doklady vysshey shkoly. Fiziko-matematicheakiye nauki,
1958,Nr 6,pp 180-164 (USSR)
ABSTRAM The author uses the data of Sokolov Z_Ref I - 4 7 on the re-
flection of electron waves on plans metallic su;faces and in-
vestigates the polarization phenomena taking place thereby.
The state with negative energy is neglected as in I-Ref 3
7
_
Since in relativistic quantum mechanics the projection of tb;
spin on an arbitrary direotion is no integral of motion, it
is described by the mean value.
The direction cosines of the spin vectors are calculated in
the mean, and relations between the direction cosines of the
spin vectors of the falling and of the reflected particles are
obtained. The author states that the direction of the spin
vector remaino-unaltered under reflection only if the spin
vector of the falling particles lies in a certain plane. The
author gives the condition under which the longitudinal
r
Card 1/2 V

68026
On the question Concerning the Polarization of Electron SO'1/155-58-6-28/36
Wavee Under Heflection on a Plane Metallio Surfaoe
polarization for refleotion Is transformed into a transverse
polarization.
The author thanks A.A. Sokolov for the problem and discussion.
There are 5 referenceag 2 of which are Soviet, 2 American,
and I Italian.
ASSOCIATION: Moskovskiy gosudaratvennyy universitet imeni M.V. Lomonosova
(Moscow State University imeni M-V- Lomonosov)
SUBMITTEDs November 20, 1958
Card 2/2

AUTHORS: Loskutov, Yu. Y., Kukanov, A. D. 56-2-27/51
TITLE: on the Polarization of the Radiation Emitted by a "Super-
light"-Magnetic Momont (0 polyarizatoii izluchenija
"overkhsvotovym" maCnitnym momentom)
PERIODICAL: Zhurnal Eksperimentallnoy i Teoreticheskoy Fiziki, 1958,
Vol 34, Hr 2, pp 477-482 (USSR)
ABSTRACT: By means of the method of quantum electro-dynanice the
authors investigate the problem of the polarization of the
irradiation emitted by a 11superlight" ma.-natic moment, which
moves in a ferro-dielectric. Expressions are given for the
intensity of radiation per unit length. The takin,!1- into
account of the magnetic permeability of the medium does not
change the character of the polarization of the radiation
in the dielectric. The first chapter deals with the
polarization of the radiation emitted by the mag-netic noment.
An expression is put down for the vector potential X of the
quantized electromagnetic field in a medium with the
characteristics E(-j) and p(-). The amplitude A of the vector
C!Ir'! 1/15 potential is decomposed to components which characterize

On the Polarization of the Radiation Emitted by aa "Superlight"- 56-2-27/151
1
2.1agnetic Moment
certain polarization state3. Also for the operator of the
interaction energy as well as for the probability of the
radiation emitted by the ma'-notic moment expreasionu are
put down. Then the intensity of the radiation per unit
length is calculated by avera-in,!", over the spin states. An
expression is also put down for the threshold radiation.
The radiation is partly polarized and different from zero
also at the threshold value. The latter circumstance is
caused by the spin-flip and is a pure quantum effect. The
polarized as well an the unplolarized part are of the same
order of magnitude. The second chapter investigates the
energy losses in motion in a ferro-dielectric. Here it is
made a condition that the direction of the maGnetic mocient
coincides Vith its direction of motion. The equations of
the field potentials are put down in detail for this case.
Finally the expressions for the energy losses are deduced
and divided into Cherenkov- and ionization parts. There are
8 references, all of which are Slavic.
ASSOCIATION: Moscow State University (I'Aoskovskiy Josudaratvennyy
Card 2/3 universitet)

On the Polarization of the Radiation Emitted by a "Superlit,,ht"- 56-2-27/51
Magnetic Moment
1
SUBMITTED: August 21, 1957
AVAILABLE: Library of Congrese
1. Dielectric radiation-Polarization 2. Mathematics-Theor7
Card 3/3

KMNOV, A.B.
Polarization of electron waves reflected from a plane metal surface.
Izv. v7s. ucheb. zav.; fiz. no.4:3-12 '59. (MIRA 13:3)
1.Moskovski7 goonuniversitet im6ni K.B. Lomonosova.
(Ilactron optics)

................ .
Elastic scattering of electrons with oriented spin in the crystal
lattice of a metal. Izv.vvs.ucheb.zav.;fiz. no.2-.10-20 160.
(MIn 13: 8)
1. Moskovakiy gosuniversitet im. M.V.Iononosova.
(Electrons-Scattering) (Metal crystals)

MDROLF7, P.A.; KUKANOT, A.B.
Producing short (on the order of 3.10-7 sec.) light pulses bv
means of a spark discharge and an oscilloscope. Izv.v7s.ucheb.
zav.;fiz. no.2:44-47 160. (Min 13:8)
1. Moskovskiy gosuniversitet im. M.V.Iomonooova.
(Zlectric discharge lighting)

S/l39/6o/ooo/oo6/oOl/032
E 03 2/r., It i
(/0 3_5--
AUTHOR: !4kan9y9 A.B.
TITLE; On the Elastic Scattering of Electrons With Oriented
Spins by the Crystal Lattice of a Metal
PERIODICAL: Izvestiya vyvahikh uchebnykh zavedeniy, Fizika,
-196o, No.6, pp.5-12
TEXT: The relativistic quantum mechanics is used:to analyser-
the selective reflection of electron waves by crystalline
metals (Wullf-Bragg reflection). A relation is found'between
polarizations of the reflected and incident waves. A condition
is derived'which can 4e used to determine when the longitudinal
polarization of an electron beam can be transformed into a
polarisation with the aid of crystalline metal, and
vice versa, The a,nalys*s is based on the'Tollowing considerations.
j A cartesian set of coordinates is chosen so that the plane z = 0
corresponds to the surface of the metal and the metal itself
occupies the region z >/ 0' The potential energy outside the
metal is ta)cen to be equal to zero and electrons incident an the
Card 1/12

880_V
S/139/60/000/906/001/032
E032/E414
On the Elastic Scattering of Electrons With Oriented Spins by
the Crystal Lattice of a Metal
metal from the side of the negative z axis are described by
the wave function
Eq. (2)
L
(2)
Caid 2/12

S/139/6o/ooo/oo6/001/032
E032/E314
On the Elastic Scattering of Electrons with oriented Spins
by the Crystal LAittice of a.Metal
where
Cos e
2
I B+10sln e
b., =
1/-2
sf(-I() Cos 9.,e
IT.
2
sf(-I()sln Oje
ZO- (4)-
S K)
4
Card 3/12

5/139/6o/000/006/001/032
E032/E314
On the Elastic Scattering of Electrons with Oriented Spins
by the Crystal Lattice of a Metal
The wave function given by Eq. (2) is the simultaneous
solution of the Dirac equation and the equation
(CIV
A
Sy -Y (5)
Y
ki
subject to the *condition that the electron energy outside
the metal is zero. It takes into account only those states
which correspond to the positive energy.- The lattice is
assumed to be of simple cubic structure and the potential
energy of the electron inside the metal is taken to be of
the form
1
V(X, Z) 4- V(X, Y. z); Z 0 (6-)
Card 4/12

S/139/6o/ooo/oo6/001/032
E012/E314
On the Elastic Scattering of Electrons with Oriented Spins
by the Crystal Lattice of a Metal
0
where V is a constant positive parameter characteristic of
each given metal, and
I
V(x, y, z) is a small addition to V
It is such that the spatial avej;age of the potential energy
inside the metal is equal to -V The function
I
V is then expanded so that
1 1 -2Ti/d (f x+my)
V'(x, y, z) = V~x , d~ y + d, z + d) V (Z) a (7)
46M t'm
where d is the lattice constant and
~'m are integers,
The wave function for an elettron inside the metal is taken to
Card 5/12

e ~_ -I _;.i
S/139/6o/ooo/oo6/001/032
E032/E3i4
On the Elastic Scattering of Electrons with Oriented Spins
by the Crystal Lattice of a Metal
be of the form
-icK't
e (P I (x, Y" Z)
The qi4antities y' and K, are then expanded into the
series
(P (P, (P I+ (9)
0 1
KQ KI + KI + (10)
wherl tpl and KY are of the same order of small quantities
as V The zero-order approximation is then given by
Card 6/12

M39
S/l39/6o/cno/oo6/o0l/O32
E032/E3'14'
On the Elastic Scattering of Electrons with Oriented Spins
by the Crystal.,.Lattice of-a Metal
0 0 0
-icK'x
which is a solution of the Dirac-equation for the case
0
tem
V(x,ytz) S -V The author has obtained the following sys
of four linear equations for the function
I
(P
Card 7/12

88039
s/139/6o/ooo/oo6/ool/o32
EOWE314
On the Elastic Scattering of Electrons with oriented Spins
by the Crystal Lattice of a Metal
A + (R2- K.2)
+ +
1. Ox
K,2), 1,4 + (R + K,)
I oz
+
Card 8/12-

818,039
S/l3q/6o/ooo/oo6/ool/O32
E032/1-314
On the Elastic.Scattering of Electrons with Oriented Spins
by the Crystal Lattice of a Metal
+
i ax dy
+
-~- ", - ~ (R -~- K,)
jz
ax
VY
aird 9/12

88039
S/l39/6o/ooo/oo6/oOl/O32
E032/E314
On the Elastic Scattering of Electrons with Oriented Spins
by the Crystal- lAttice of a Metal
where
0
0 2Vrr
R KI + (12)
hc
i
V,,r 1) 0
I (q 1. 2, 3, (13)
hc K (Pq
5 0
In analy must
Bing the set -of equations given by Eq. (11) one
distinguish between the case where the wave functions are
degenerate with respect to momentum in the absence of
perturbations.from the case when there is no degeneracy.
The present caper is concerned with the first of these two
cases and the analysis is limited to the zero-order
approxi mation. It was shown in Ref. 6 that the degeneracy
Card 10/12

88039
S/13q/6o/ooo/oo6/ool/O32
E032/E314
On the Elastic Scattering of Electrons with oriented Spins
by the Crystal Lattice of a Metal
sets in when
k112 + k212 + 4 12 kit
3
2TY 2 + (k 2rr 2 +
- d 2 d
( 21V ) 2
k3 - n
d
where n is an-integer and
k' = (k k 1, k
2 3
is the momentum of the particle
inside the metal when
I
v 7 0
Card 11/12

88039
S/139/60/000/006/001/032
E032/E314
on the Elastic Scattering of Electrons with Oriented Spins
by the Crystal Lat-tice of a Metal
Eq. (14)-is identical with the Wullf-Bragg law. The analysis
is then continued for the case where a selective (Bragg)
reflection takes place from a system of,.plane nets parallel
to the z = 0 plane and expressions are derived for the
energy gap in the metal. The paper is concluded with a
set of general expressions obtained from the above theory for
the relations between the polarisations of incident and
reflected waves. ..
Acknowledgments are expressed to Professor A.A. Sokolov for
valuable advice. There are 20 references: 13 Soviet and
7 non-Soviet.
ASSOCIATION: Moskovskiy gosuniversitet imeni M.Y. Lomonosova
(Moscow State University imeni M.V. Lomonosov)
SUBMITTEDi January 14, 1960
Card 12/12

KUKANOV, A. B.
Cand Phys-Math Sci - (diss) "Saveral problems related to the
motion of point dipole moments and Dirac particles in matter."
Minsk, 1961. 8 pp; (Belorussian State Univ imeni V. I. Lenin);
220 copies price not given; bibliography at end of text (1?
entries); W, 7-61 sup, 219)

21508
S/139/61/000/002/003/018
d (00) B032/E414
AUTHOR: Kukan v, A.B.
.&UKano
TITLE: On the Cherenkov Radiation Emittel by Magnetic and
Electric Dipoles
PERIODICAL: Izvestiya vysshikh uchebnykh zavedeniy, Fizika,
1961, No.2, pp.28-33
-by magnetic and electric
TEXT: The Cherenkov radiation emitted
dipoles has been discuss ed by many authors. Different workers
are said to have obtained different formulae for the intensity of
the radiation emitted by a magnetic dipole perpendicular to its
direction of motion. V,L.Ginzburg and V&Ya.Eydman (Ref.,13 and-16)
have pointed out that some authors base their calculations.on a
model-in which the magnetic moment is formed by a pair of magnetic
poles, while other workers discuss the phenomenon in terms of
magnetic moments associated with current loops. A "truet'
magnetic dipole is not in general equivalent to a current-loop
magnetic moment of the same magnitude and direction. The present
author discusses this conclusion using the method described by him
and Yu.M.Loskutov.in Ref.11. The Maxwell,equations for a medium
with complex e and It are taken in the form
Card 1/12

21508
S/139/61/000/002/003/oi8
On the.Cherenkov ... E032/E414
I dDl 41t
rot HI = - - +-
C at C
I OBI
rot El
C at

d1v D'
d1v BI 0.
It is assumed that the system of electric charges and currents 15
characterized in the laboratory system by magnetic and electric
moments Ile and 71e, anctthat the dimensions of the system are
so small that it may be looked u pon as a point system. In that
case-
-d1vP1 -dlvlxla(r - vt)]
(2)
Card 2/12

S/139/61/000/002/003/018
On the Cherenkov,,,, E032/E4i4
ape
(3)
t
where v in the (constant) velocity of motion of the dipoles..
In terms of the vector and scalar potentials, Eq.(l) leads,to
a2A
C1 dt2 C
(8)
C2 at2 9
so that in the case of -uniform motion of the dipoles along the
z-axis, the special solutions are
Card 3/12

21508
!-,/139/61/000/002/003/018
On the Cherenkov E032/E4i4
dk,
A rot f 1. Ko e"('
-d" it! f tL dk,
t KO( e
t (9)
+ irc
K (t ) lk -1)
dlv n, f p e dl k,.) (10)
where
A lB QZP) '9lH.(')(AP)
P.29 2
p.
Card 11/ 12
IN ~j,
W.
-ME

S/139/61/000/002/003/Oi8
On the Cherenkov ... E032/E414
t A!1(j sIgnRek3(1
tl ..V
ke
V C
In order to determine the energy losses by collisions with
impact parameters greater than one can use the Poynting
theorem
E.., 1y e
dS.
4r, f (13)
In the case of small'impact param6ters b
1 In 4 (Eb)
2
Card 5/12

21508
./139/61/000/002/C)03/018
S
On the Cherenkov ... Ec32/E414
The final expression for the Cherenkov part of the energy loss
per unit path length is found to be (clectric dipoles)
"Max
lp-Ree It-P Re tLIdw +
f
WMIX
r.,1 (1 -p)2 Rea W3
+ oz.- 4"- Id- + (0 P)2IRe!,I +
2v'
2
+ [RealI ReI[L + WBIA dw +
lap
e2+ r2 lReal 2
+ OX. (03 1 P'RezjL +PIMNL d. +
2v4 (16)
0
Card 6/12

On the Chercr~~ov
S/139/61/000/002/003/018
E032/E414
WMAX
f 03 PIRelit
v4
0
Reilt P 21,71.2*
e (,,e e 0 e
where ji X01 11 Yo, 11 z0) 'and ivO Tr ex. I 1~,Yo, TI ozo)
0 0 0 0 0 0 0
are respectively the magnetic and electric moments for the rest
system xot Yol ZO, The first.four terma in EqI16) are identical
with the formulae given by V.L.Ginsburg (Ref.1) and I.M.Frank (Ref.2)
Card 7/12

21508
S/139/61/000/002/003/018
On the Cherenkov ...
or and e=-Ree>O. Next, consider a system of magnetic
charges and currents whose centre of inertia moves through a medium
with.complex $t and c with a con~-ttant velocity v along the
Z-aXIS. If the dimensions of the system, which in the laboratory
frame has magnetic and electric moments ~tl and jTm. are
..Sufficiently small, then the charge and current densities are given
by
divM"'= - d1v [10&(r - vt)],
U8)
Omni mZ(Ir-vt)]+
crot Pn + cf0t 1r-
Ipma(r- vt)].
(19)
The electromagnetic field appearing in the medium is then
described by the Maxwell equations
Card 8/ 12

21508
S/139/61/000/002/003/018
On the Cherenkov ...
M
rotH
C at
I aBM 4t; M
rotEm
C at C (20)
dlvDm 0,
and the transition from Eq.(l) (3) to Eq.(18) (20) is obtained
by the following replacement
P6
32
It follows that the intexisity of Cherenkov radiation emitted per
unit path (magnetic origin) is given by
Card 9/12

,,/139/61/oOO/002/003/018
On the Cherenkov ... E032/E414
W.,.n W% Res dw
~p P2- ReP +
V4 f JpJ2
0
(1 ~- P2) W1 lRepla] !p* Reeldw +
0
WMAX
JRejj -
+
OY,
0
"'Max
ml 1 (21)
+ + ,0,. +
.3 _p2)21pe,l +
TV -I
max
Sy. 7cm
+ P2 Imlep] d- 0 Ws
Req-) I + -OZ. P X
V4
0
X P'Resj-) (I Re:jp.) + PlIln2g,,.Id_.
Card 10/12
IT-
10 1 -.0
Fp

S/139/61/000/002/003/018
On the Cherenkov ... E032/E414
M m m m "qmz
where 110 Nox 010yoIlloz and M.'11' '174
ox 0
0 ..o 0 0 0
are the magnetic and electric moments in the rest system, and are
related to IIIII and Ilm by
A -0 - IfT-_fpxI4V.)V0 ~j [Voicol
(17)
0 .1-F1) oteovo)vo 19.1voleol
0=
The first and third terms in Eq.(21) are identical with Eq.(4.23)
and (4.24) in Ref .4, with IL =- 1 and e = Re c > 0.
Acknowledgments are exprassed to Professor A.A.Sokolov for his
interest in this work and to Professor A.N.Matveyev for
discussing the results. There are 29 references: 26 Soviet and
3 non-Soviet.
Card 11/12

21508
S/139/61/000/002/003/018
On the Cherenkov 7~CWE414
ASSOCIATION: Moskovskiy gosuniversitet imeni M.V.Lomonoso,%,a
(Moscow State University i;pQrl4 ~J,V Lomonosov)
SUBMITTED: June 20, 196o

20769
S/051/61/oiO/003/001/010
2-7/ //,S78j NO 1) E032/E514
AUTHOR: XWkanot,-A---J0.
TITLE: On the Quantum Theory of Vavilov-Cherenkov Radiation
Emitted by a Magnetic Moment
PERIOPICAL: Optika i 'spektrookopiya, 1961, Vol.10, No-3, PP-289-296:
TEXT: The emission of Vavilov-Cherenkov radiation by a
magnetic moment has been discussed by a number of workers on the
basis of both classical and quantum theories. However, there are
discrepancies between formulae obtained by different authors.'
V. L. Ginzburg and V. Ya. Eydman (Ref.11) showedthat some authors
(I. M. Frank, Ref-3; V. Ya. Eydman, Ref-7; N. L. Salazs, Ref.8)
uset a model of a magnetic moment in which the latter is formed by
J magnetic poles, while other workers consider magnetic moments
associated with current loops. In'the present paper the relativ-
istic quantum electromechanics is used to investigate the emissio
of Vavilov-Cherenkov radiation by a neutral (e = 0) Dirac particle
having an intrinsic magnetic moment 11 . The analysis starts with
0
the Dirac equation for a magnetic moment (A. A. Sokolov, Ref.19;
ii! A. I. Akhiyezer, V.,B. Bereatetskiy, Ref.20):
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+ 17 + pa-ocl)
a and
In this equation m is the mass of the magnetic moment,
0 A P3
o operator representing the
are the Dirac matrices and U is th
energy of interaction between the magnetic moment and the electro-
magnetic field in the medium. It is assumed that the magnetic
moment is moving through a transparent ferrodielectric whose
dielectric constant and magnetic permeability are e(w) and u(W)9
0 respectively. Two possible forms of interaction between the
magnetic moment and the electromagnetic field in the medium are
..;-considered. These correspond to the following two forms of the
interaction energy operator
-F0 (F3 ("B) + p3 (aE)j
g1t, D
VV~ PO IF3 (*U) + ps (*D)1. (3)
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.IiIn the above two equations cr and are the Dirac matrices. The!
?2
~;vector potential A for the quantized transverse electromagnetic
afield in the ferrodielectric is written down in the form
:~(A. A. Sokolov and V. N. Tsytovich, Ref.21):
3
2nelil
fit 61P, (-Ic'%t (4)
+ jj+ OXP (ICI%
t - N01,
3
where L is the volume of the basic parallelipiped,
c
C cit rVIL
n
and hx is the momentum of the photon. The amplitudes a and a +
obey the following relations
(5)
n, n'- t, 2, 3.
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in particular, in the absence.of photons at the initial instant-

(which is assumed throughout) one can write .4

a
'A M0,
1
1 '02 '3
%
This formalism is used to obtain a formula for the intensity of the:
radiation emitted in the case of linear polarization and circular
polarization. It is shown that in the case of the Ii ;B,,E inter-
0

action, the emission due to longitudinally polarized particles in, i !j0
in general, elliptically polarized, whilat the radiation due to
unpolarized particles consists of two parts, namely, Lw linearly
polarized component and an additional unpolarized component. In
the case of the )i ;H,D interaction, the radiation emitted is always;
linearly polarizea ;,-rh-atever the initial spin state and velocity.
The formulae obtained are then specialized to the ultrarelativistici
).case (P-> 1). The special*case cos 9 1 is also discussed in
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some detail. Acknowledgments are expressed to A~ A. Sokolov for
his interest in this work and to Yu, M. Loskutov for discussionx.
There are 28 references~ 27 Soviet and I non-Soviet,
SUBMITTEDi April 21, 1960
i
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AUTHOR: Kukanov. A.B.'
TITLEz :A simple method of calculating Cherenkov loss's in a
tran8parent uniaxial'crystal.
PERIODICAL: Optika i spektroskopiya, v.14, po'.1, 1963,.121-124
~.TEXT: A. G. Sitenko and-A. A. Kolomen;kiy (ZhETF, 30, .511,
1956) have obtained a general expression for the energy emitted by
a point charge in an-optically-active uni.Axial dielectric in.the.~
form of a Fourier-integral'over the wave',,number and frequency
space. The present paper reports a method of evaluating thin.
integral. ov~-r the. wave number apaco" in 4he case where the p6ii~t
charge moves through a transparent uni.aXi~tl'ferrodi*elec*tric at
an arbitrary angle to the optic' axis. It is shown that the.
energy of the extraordinary waves is given by
2 -1
v c 111110.(Pp-l
2C-2 0
and W e ~11,(POPIL-, v3
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when. v -7 -'c~