THE THEORY OF POLARONS

Document Type: 
Collection: 
Document Number (FOIA) /ESDN (CREST): 
CIA-RDP82-00039R000100070069-9
Release Decision: 
RIPPUB
Original Classification: 
C
Document Page Count: 
15
Document Creation Date: 
December 22, 2016
Document Release Date: 
May 21, 2012
Sequence Number: 
69
Case Number: 
Publication Date: 
August 15, 1950
Content Type: 
REPORT
File: 
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PDF icon CIA-RDP82-00039R000100070069-9.pdf1.4 MB
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 T THEORY OF' ?OT4UtONS no i Toorich09lcoy P'im1ti Zhurnl ~1c?Y~Qr~m:,nt Vol 19, No 9 (Sop i9)9) I. Polar 1~ August 190 U) CONcLDEN11Ai Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 50X1 -HUM Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 I i -~ i `1 iFMi! oY:l ii'l !.?K' li,"; f; ul ;t ~ ! 11 CJ ?1 hf I l! F,:i > is i 1`l V tt.lt ~~(_- ' , ~ i , L I, t.hl: fi ilil+>I t,li,c~jtd oi' ~d:' Ir t:l::l~ikell1iR; j;E T,G1' Q(~11~i~.IC-IJ l NF~.LC;ll f!V~~fi Y'!fl`'O~ ~;,~' ~IF1M ~ .11 ~.?1 u1 4 i 'C1; ~U t1 I . I l. i, nod.?,~`,.~, .1N IIP:rTAi'(l 1 .L1 C r rl rTT `ILater U1n'L 1Vf`VfJN) ~I(~NNC:f3~l Uc)nL.l.jlUL) l;~ l/ ci? (eCI~Y lTi. T1 Lvlor I~r` N~CIl'~Irr F~ iJ f iii I .I f~' .flfmNF"c?~ to t L( r:Ln4r ot, -G.U` ~fff. 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I UtJi*R1fwTIA~ Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 ? c ceiL'lc (inrirritc) vrcwQ and on Q c, - cQ~ ? i taw otac;roCCQpic con- i) roxi1itn,tQly rA ~l .ca ty thQ conroc?un is a~~ .tr~>~1Q ccQ ' ' Q ,Qnt a ' thQ uQ cpnci lQr thy, 4 :c; Qdtr thA att ,oc ccn~l;cn#,~ In thin tuw, o c n eorrC cPQndc to vrctvQ1Qfnc~ Qi: t?.4 c f lQr Qf t1'c po21aran' ~ icmQtcr~ tY ct 1c~ c yst c~ T Q,.revcx1, r the awn (F' ), th h ~ p' Qr~ifl&I ?n w-tali }: C OEtER It cQi 3tr4t, thQ c QpcnUQncQ Q ' Qls U Qf k c1Q n it n i ii ?o va ' , ~1 ~t~l'1ta (ceQ L17): - (G . ,1 (2) ~ ('IL' ~~~;~ht, t~lio i~~iQrclcsc ~r1 i~~~- 4tcrc n i~c th ' cx of rQ1cr ti(~n Qr QiQCtrc~nc that l~Q cifp tQ the l fc' cfsi1Qn is a ~.,c Uie1cctr'ic cc,no`icnt? Thus, t1 o rirct t,;ro toiitc in ('2) arc t,rnt cror cd into tl;,c r~rnrti? col ,~~ rhirh ''ti .iiccuc~sod in clctai1 cuth iriirid in , ~, ~n thQ hcc}c E??~' ~l~o r~?,~~~~1tc rr tl~Fs~a irQ~~ec, ct~t~n: alvif~,oi,kc, . y~c /4 0 C~1~583/t ?/,* z, .- y,,r '/'' , ?...,, __,,,,,.._ , ' the a1Gotrnn tro c y~:n = e nec rnl=r~ a n.unpo1 ri ed cry ~ct11, 1 tltcn tho ?nar p or the w,rstom vruuld c is ply usual tho onor7 r1 im ~cro 7 o,1J 7h/ e ,0 26). r iiat one of thEj inmr; thEt.t is, e ua1 sbc?nd t,~ rm in for1nu1ti (,, ouch. . that ;>a , cqunl th ac in fr(Lvinus,?.1~r,rrytal.~l.ie caiOUlatiOfc, 7I e sa~n~, s~ The wtabi1a.t,r, 1ridictit: d. here, of? a rioiarrn CarIQt be dispUtod in to o;c~.ct so1uticn of the pro1)i(m, sinco ono e fl, lapin. into account he rtuiti- .1icativr~ lir~itatioc' a pprOXirnation (5), aft'irm thc1;; the oxact va.1uo of to enerr':i o;r t,hc r)olaron st,r?e 1i: sar~iewhat to rcr. Section 2. T1ie 1 i~ergy of t,hc 3ystonm in Acl?aiaatic ri,pproxiniat,ion. consectuonti;fi, tho cncrg of dishc~ciatien off' n c1ortron ur~jlal -J i~iaro accurato rosuit,s can he obhinod ~vith the a?d of ~;ai7b~tie appro d- mation. The ion t t'rorruency of osci11at Of~ arc assUnnE;d to be so sinai1 that tl'lo state of:' tale Ccndl.cbmwe electroh can ar~~al7at~caJ.L;y fbf.Cuiit meti~in e f~A), aii,7O O54''(2~) Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070069-9 OONFIDNT1Ay tonpj1' (!Rt)at~ A,1~1~~'1tQil ( c-~~,~fi,~ to th:U--it i~r- rui,t~ iYu: i U111 t 1 the atrcn ~ta.L tQ t,h into r~t-n~ clev tiers the v :ti a c#' the fie ft f, c~eeillaiirti' iOna, Ethan, a~ In ~I ttc'n tf1 hc+r, , C;n / t vei4~r vciiu oL' thc: jCst;t:ie:Ld on~iclo4Qd, t1-nk~ tai tiIQ Ulu tj4,U('nt,LVc4 jtit~t+;L n (9). LQt uu thfL t1 c rrc r 't 'u' ti?i~ Q :Lcflb Ln t1i4 ~xyrt i. iA 1 tt r- Ln)U h the ni} i~ ~~~~r{+1, t 1t~- ? Aar rip. The a ?etronI t?r:t rI rc'ni1Lnr ?t ._, l~atlcaa to thin roc f i~rnti:(if, J $ 1i.ti 4 Q1 ~ 1J~Qr:~ fcw t1-io t1iojFin r~l~att~~~ s -~ y- ~ ~ I_P(jj'-) //J r, F6 ii' G`tf: r lrtco th1:,~ Ptnur..:t,i(n by 1,ho or uiV , Lt'Tit1 rri r' ,ir1 ~aL thcd n~1 111r~1?~ 114x: cLh ;in (12) ,, th' n yb hnvt; o 111 Th.Lri j'un~'.t L' n ~. t ai h ,r:Lni _'i'~CJfI. 1i:i Lor fl~cc~d c~i.tltLr;u i(1r) ; .I~11at .i, for fi~c d P1,. T11t tC ~a:L cnr~ y r,i; 1,hu Ccnd11Ctc11YC cItiCt1Cf Equ,;t tr : jjyy1 I~c1::~'i 1'JaeJ~..dk yr ?i i!1 ii'iit1iJaI..ir As 1rciady' rtant Lold~ the po1::1 .-t:i l uJ'ac (31) nain1f w-~.tt tli 1on~ 1;o1a- ri.~cd for Mich one con i?dcr "k rnr3 ~ as i.nrl.aperldont of k. Thcra- i' tiro prdbir1,15 of ?i rest tO U5 V1 t 11