SCIENTIFIC ABSTRACT FR:MALCHENKO, V.I. TO:MALC, A.
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SCIENTIFIC ABSTR
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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138001031700017-6
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C111 C222
On the ~tevESxsion Problem for the Equations of Quantum Mechanics
factor - ~i4F the author concludes from own earlier results (Ref. 5)
(14) lim T(im, 4') m - ~~ ~ eii~ ~ Y2(x}dx ~
m-~ o0
where '~ ~~ I k~ - k (; k , k~ are imptilsea of the incident and of the
dce-ttered :pa~~tiole ; (1q) holds for al]~ finito real ~ .
Since T(k,'C} can be determined for arbitrarily large energise and 'C , and
in k it is cci~ntinuabl� ~.n the uppe~~ ha]lfplane ~ the reversion problem for
(8} can be salved correc:t and unique w:lth the aid of (14} �
The author f~,nde a relat1on analogous 'to (1~) for the scattering of
particles wiith the spin ~2 in a potential field.
The author au~ntiona E.E.. Shpol~ and A.!~a. Povzner. He thanks O.S.
Para~-yuk~ Corresponding Member of the ~~cademy of Scienoea IIkr. 358, for
the theme, and Yu.M. Berezanakiy, Doct~~r off' physical-mathematical aeiencea,
for discussions.
There are 7 :references ~~ 5 Soviet and 2 American.
Card ~~4
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On the Reveri9ion Frobleia for the Equat;lons of Quantum Mechanics
(7} lim f(i~.., ~) ,. _ --1 �i'G ~c v( }dz
.t>o ,~c-~ o0 4 ~,
follovring from (Aef. 4) is not correct.
This difficulty does not appear for the relativistic equation of quantum
mechanics. T1he author considers the reversion problem for the equation of
Klein-Gordon which desc:cibes the acatt~ering of the particles with the spin
zero. Let
t$) (a + ,~2)y~(X) - (zA Ev(x) w ~zvztx)~(x)
wherw --
(9) ~ - + ~k2 + mz
and m i$ the mesa of the particle. Itti,s assumed that the potentials v(x)
in zera have at most they singularit, ~ , ale either finite or spherically
~~'i-1x12
symmetrical, and deareas~e at least as a ~'or the scattering matrix
T(k, 2') which distingu~ie~her from the ec~attering amplitude only by the
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AUTSORs }dal.' chenko, D.I.
TITLEe On the Reversion Probl�m for the Equations ai Quantum Idechanice
PERIODYGALs Ukraine~kiy matematicheekiy xhurnal, 196Q, Val. 12,
No ~ 1., pP 93 - 96
TESTS The scattering of non-relativistic quantum mechanical particles
by an external scalar field V(~) independent of the time is described by V
(1) describe~e the scattering exact so long till there appear relativistic
effects. Thelrefore the amplitude of the scattering f~k~~C) gives a correct
description only in a bounded re ion cif the energy k .Therefore the
seterminaticln of the potential V~'~ acioording to the formula
(6) lim f (k, ~') - 4 ei~ ~V(x)dz .
k -a-cp
of L.U. ~'addeyev (Ref. 3) and aooordiTig to the for~-ula
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AUTfl4fla ~I~a.' ohenko 9 ~l a l: e
TITLES D ipe isT an xe].ationships for the Scattering of ;pinlesg
ternal Scalar Field
E
x
He]lativistic ~'articlea by an
PERIdDICAL: Ukraingkiy mai~ematiche~kiy zl~urnal, 1959 vol t~Q Rr 39
pp 256266 (~35R)
ABSTRACTa St-~rting from the equation o.e Klein_b raonscg~araspheros~mmetric
i
ng y
the author co~aeidera the scatter
tion
tranef~orminga
i
i
m
potentialo After same
already
~as
~hich
tian
the .author obtains an integral egFor the kernel and the resolvent
f
J
~
considered by povzner Re
author obtai
the
e
~
c
t
n
.
of thi.e, e~,uati�n.
a
ie considered ar
d
,
~~
it
tria of scattering is establish
der
ma.
.function of the energy and momentum .of tran$fer9 then9 un
e
alytic
an
t i
g
e
o
l
,
s
certain conditions9 i
auth�
the
Anannar
the usual
n
al momentum of tranalfero I
fair a re
ot-taine the dispersion relationso
Card 1~2
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~ sovec'~ cone: u~/o1~7/65/00o/o~.aix0o6lxoo6
L ~~
Acc ~~ .~ 005812
,~
~!te~,ev, V. F. � Ma, ],~,,,' chenko, L. P. ~
AUTHOR : _ Spy ~ '.~;': Y a . ; Mal
___.- dro en 'ietermination in ti~t~.,. ~'~loy products
- TITLE: Methods cif ~~ ti~
gOURCE: Ref. zh. Metallurgiya~ Abs. 10K35
~. a l 6 135�13b
. 15� M�, MetallurgiY ~ 9 5~
Yp
_, REF SOUR(�'E: Sb. Proizwo trub. 8rogen Qeterad.nation
TA08: titeua-ium s-].loy, hydragene vacuum melting, b+Y.
a- TOPxC the H determj.nation in Ti alloys by
aced concerni~-g meltiag method at 1700C � The
ABSTRACT: Data have been comp the ~racuum- It waa shoNn that
he vacuum-he8~t method at 1:3QOthods diffex on1Y slightl~-' � itaaiwn with hYdrO~e
~eaults obtaine~~ by the two me ~ if'.Lcent saturation aft ~~]
Y s es does not ~ lead to si6n
~ [~Treuslation of abstract. ~
V. ~tomanova� .
~a ~ .' BUBM DATE none!
sue GoDe � 1~I
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fir:; ,
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^s^~^^s~'~'~--- T-3
Ph siolcgY (I~orB~a~- bz~ Pathological) .
egg ~ Human and Animal Y
Matabolism� 60068
Na 13 ~ 1958, No
~.. - Abs Jow~' ; Rof Zhur - BiologiS'ar
Author : N6a1'chonka G�~'. ~=- c~ with
Inst~ 8 von
� t~.n g ~taboliam in Children of Early A{3
Titlo . Vi 1
Sovoro Nui,ritional Diatur~~anc0c
pub Podiatriya, 1957, No ~~ 93-9G
Orig
of 98 ehildron in the tae of thrc�
In tho majority 1 Fxirmont:~
Abstract ~ �ars with svvoridvr~blotdintu boo in
months to 2~ Y a cons do oe of B1
of diffoY'ont atiology, obcorvod. Tho ~ olongod
vitamin 7~1 motaboliem wa~~ and pr
r was mono prone>uncod in p0ri4~ Dyed
daficion~Y of Bl�
eoaaog � Tho most o ffoc,tivo ntrati4n o famin~l
di cular ,ndmini
to ba tho intrauaw~
avod to ba offoctivo in caaoc of cimplo, a
This pY'
Gard 1~2
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� C ttraens Pe....,,t.tlnn and 9reediat of 11,.osoorRaniwr SOE/50-59-~-tAl60
� of the strrohy rss m+tieriai an4 syruy in tbs air.obai at57 64
73
Authc~rt I+ o ~
~ L�, Krishtul, F. B., Skirstymonskly, A, I.,
KinzburskaYa,'-~*:-r,I.
Institution: A11=Union Scientific ReAeaxrh Tn;~t~.tu,te of th .
e Alcolac):~ iandlxs L.ry
`'~~'t'"e: ~fei~t of ~'ermentat~.on Conditi,on~~ on R~icroflora Dev
Processing of Sugarbeets Molasses e].opment in the
Original
Publication: Tr. ~i~ses . n . _~, . jn-ta spirt . pro~z~_sti, 1~ No ..
55, 5, 71 77
Abstract: ~Vestigations of the effects of concentrat~,on
alcohol content, amount of yeast inoculum and fermentation of the wort,
on development and action of wild lactic acid bacteria (~)t~aerature,
leuco;nostocs (L). It was found ghat with increase in the conc
Lion ~nf wort, regardless of its i~aitial acidit entra-
in reduced and increase in aeidit~r of the wortyisp3nh~,bitediowhof LB
incretisE of the initial acidity of:' the wort reduces somewhat thereas
Card 1~2 e
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