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Document Creation Date: 
December 22, 2016
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September 12, 2011
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March 21, 1951
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PDF icon CIA-RDP80-00809A000600380528-4.pdf87.67 KB
Sanitized Copy Approved for Release 2011/09/14 :CIA-RDP80-00809A000600380528-4 . -~ coNFIDSPTIAI~ ~ = ..._,~,~ ,~~;:~~ CENTRAL INTELLIGENCE AGENCY REPORT INFORMATION FROM FOREIGN DOCUMENTS OR RADIO BROADCASTS CD NO. SUBJECT Scientific - Nuclear physics, wave mechanics HOW PUBLISHED Monthly periodical WHERE PUBLISHED" Moscow DATE PUBLISHED Dec 1950 LANGUAGE DATE OF INFORMATION 1950 DATE DIST. ~I Mar 1951 N0. OF PAGES 2 SUPPLEMENT TO REPORT N0. THIS DOCUNtMT CONTAIN! INIORYATION AI-l0TIN0 iNl NATIONAL 0lllNt/ 01 TN[ UNITRD tTAT[t WITMIM iN[ Y[ANINO 0/ It IIO MAOt ACT t0 Y. !. C., ll AND li. A/ ANIM DtD. IT6 TRANJ NII LION OR TNt RRYtZAT10N 01 ITt CONT[NT5 IN ANI NAMNtR TO AN UNAUTNO RIZRD ItR/ON IS IRO? MI/IT{D tl IAM. RtIRODUfT10N OI TNIt IORY I/ IRONIIITt D. Zhurnal Bks erimental'no i Teoretichesko Fiziki, Vol XX, No 12, 1950, pp u3o- R. V. Serebryanyy Moscow State U Submitted 12 Apr 1950 LA brief digest of the above report follows The author considers the motion of abounded wave packet of general form in a homogeneous isotropic medium for any law of dispersion, and establishes that the width of packet varies as the square oP the time and that the packet's centroid moves with constant velocity. The magnitude of this velocity is in- vestigated, aafi it is shown that for a nonplanar packet is a medium without dispersion the velocity is less than the phase velocity of the planar waves composing the packet, and for an electromagnetic packet the velocity coincides with the velocity of the particle possessing the same momentums and energy as the packet. The motion of wave packets was considered both in the classical theory of fields and in the quantum theory. (See Ya. P. Terletskiy, Zhur Eksp i Teor Fiz, Vol VII, 1290, 1937; De Broglie, Introduction to Wave Mechanics, trans- lated and published 1934 by GNTLU; and Schrodinger.) However, up to the pres- ent time only partial cases have been investigated. In the general Form and for any law of dispersion, the problem of the time variation of the }asic parameters of the wave packet has not been studied. In the present article the author seeks to find the laws governing the motion of the wave packet of the most general form; that is, hie aim is to find the-time dependence of the packets main parameters: width and coordinate of the packet's centroid. The investigation will be conducted for both scalar and vector waves. Sanitized Copy Approved for Release 2011/09/14 :CIA-RDP80-00809A000600380528-4 STATE NAW NLRB DISTRIBUTION ARMY AIR ~ F61 ~~~ ~~_ Sanitized Copy Approved for Release 2011/09/14 :CIA-RDP80-00809A000600380528-4 ;Yl, UY;~ ,,~~~~ co~m~rsar. 50X1-H U M The author proceeds to find the coordi to xn of the I;acket's centroid in terms of the rave function and the width A The discussion is developed under the headings: Scalar Waves, Plane Waves, Motion in a Medium Without Dispersion, and Vector Waves. The author thanks Prof Ya. P. Terletskly, who proposed the project,for his assistance in the work. _ _ _ ~~~v smt$~.. = _ ~K ...-s.L. __ an _ rci%'~ _ .. -.i~~ +a.7.i7ldXW4+".~.~tdf'VYbiNVIMi{a .~k.~ws+d:ti~~.r.1+L6Y~~, Lt6tu a:?:imab ~i.wuraL+9 r.lcaY ai6vkt Sanitized Copy Approved for Release 2011/09/14 .CIA-RDP80-00809A000600380528-4