CHARGE SONJUGATES FOR THE INVARRIANT

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP82-00039R000100110053-1
• Release Decision: RIPPUB
• Original Classification: C
• Document Page Count: 13
• Document Creation Date: December 22, 2016
• Document Release Date: June 8, 2012
• Sequence Number: 53
• Publication Date: April 12, 1951
• Content Type: REPORT

Declassified in Part - Sanitized Copy Approved for Release 2012/06/08 : CIA-RDP82-00039R000100110053-1
Titles CHARGE CONJUGATES FOR T INVARIANT UATIONS 0' 0~1RRALL
RELATIVITY (USSR) I. M. Gel' hand Md A. N. Yaglom
So~sroes Zhurnal Ek3perimvnta1' noy i Tearetioheekoy Fi~ilci, Vol 18,
No 12, 191L8, pages 1105 ? 1111
(ONElDENTIAI.
50X1 -HUM
Declassified in Part - Sanitized Copy Approved for Release 2012/06/08 : CIA-RDP82-00039R000100110053-1
 Declassified in Part - Sanitized Copy Approved for Release 2012/06/08 : CIA-RDP82-00039R000100110053-1
CONFIDENTIAL
c!!!' L4t1
F1 J~ T VITY
T. M. Ue1' hand and A. M. a ;1Qm
'-ntoi 'o`ho Ab4`rQ js tr,@ t1t1f of n artia],t wx'itt?rr by I. M. Gel, ~ fend and
A. i.'ayiairt, whir?h apoar~ in hurrj ~:k aerie r
~ ~nta1, noy i ~~AZ{~tic>h~tskay
Fi iki V,1 18 hio 12 (Dc ')i8), c'a~.e~ 110 -111
1. the att-r>ro arrJ ai'filiatod
w:I th tho i'~tl~pniu~,~1 eat 1rrAtitutA o f, tho AoacI~rri ~ :Y f aoionc~s -j:~b~~. the autk~ora
stab that tho rairlte ot~tiner in thr?rrir'lior
work, in ],1, rfl~~, 19u8, are ~~s~d its w prcrsrnt war
k, I,.ivcr- tt1ow, to cnneid@r the
F~rol'lem onnerrnin~ Lhr} eonoopt e#' nohrrr a crn- u .a rr
~ ~ ~, tee , ~licoua~e~i t-~+rlier by
r~. Majrraraa f:n dim Th, 171, 1937 ar~d by
S . A. I~= ~t cre in = r'eo Iuilst
Aeor! :-ci !rA, 197, in cAnnootinn with the
inv'aaiant equation? of ~crr-
f?r ct1 r'&1r-tivity ? `!`he nasal tg obtained in tho era rt
C .es t work are cc~m~~letaly
for mutt ted and aom f~crt l:nent exa ~ples are a1 o 1. ~',plat;iv~,tieally invariant e~luationa dI.atiAne-9 fAr k ~ 1, ~, 3
(aeo formula 3.1 in (iJ
VOU caw From the i'a.1Rwint2
nL ? i$r Q ^ 0
an arltilinear trar-aformation Q which stiof'iea the
thu? we deed tmly seek
and 15T Thia problem is var~i close in type tc~
ro1atiflfls41, 12, 13, lL-,
adored in Qctiona L arid in (iJj ite oolution also con
the prot,loYr~ c nc
tit ie entirely likA that in tho caee? indicatcd.
be eifpetQd in a manner
iI. tn th space o futte, we cclct as the coordinate vectors
ai
e ~ k
the swi~e v?cjtors xi-upper-k, lower-p-tau, r , as wez'a used t the work
. to
(1J, z~
ti 11
: ?tl , k; ,
Q' k
,
p k, p 'T p P
eqtlation-5 and the first of the form ulaew2.2' in to
then, by virtue of
ork (iJ, it will Follow i'rom re1atton-ll that we have;
wiprlk~ki
,
pc, p ~
that is
qk,k'
P., P'C
(17)
_ _) 4 t f'rnm r1 7. we can
d ?urther, by virtue of the suocee rewrite equation42 reltitiVe to
k,ki
q anc~ ,~~
T
p.IjTT
p
ri ? e or 0~
i
---e ~-ollow'~h9 two
k,
i
0
V(k'+)(kD~-~ ' ,
(kkp+
-+- -~' l p
'L1 0.
T1
CONFIDENTIA!
Declassified in Part - Sanitized Copy Approved for Release 2012/06/08 : CIA-RDP82-00039R000100110053-1
 Declassified in Part
Sanitized Copy Approved for Release 2012/06/08 : CIA-RDP82-00039R000100110053-1
CONFIDENiIAI
Hanoo (see the oimUar sAriolueiOns
foi1ows that we hsvei
in (i_7, on pa~ae 71L and 720) it
L.et IW now uc? equation-13. By virtue otha ?irst of formu1as-2.2'
(i_,7, this equation 1c~ads tij tine following three
relationo
'rbese Nit1tions indicate (see the perfectly identical conclusion on pace
720 ni' the work (1J that
(21)
Hero tau-star rCR ig the rei~rcuentation determined by the pair (k?, -k )
that is' for tau 'I' determined by the pair (k, k1); epsilon-upper-k, E~, )
0
1), and ie th fira c1 by the followirng
(22)
(see formu1a-5.21 in (1J; and finally q 4 is an arbitrary complex
number. (Notes In connection 4th the number r~air (1