MOTION OF THE CENTROID AND VARIATION IN WIDTH OF WAVE PACKETS

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP80-00809A000600380528-4
• Release Decision: RIPPUB
• Original Classification: C
• Document Page Count: 2
• Document Creation Date: December 22, 2016
• Document Release Date: September 12, 2011
• Sequence Number: 528
• Publication Date: March 21, 1951
• Content Type: REPORT

Sanitized Copy Approved for Release 2011/09/14 :CIA-RDP80-00809A000600380528-4
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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.
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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 follov~.ng 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.
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Sanitized Copy Approved for Release 2011/09/14 .CIA-RDP80-00809A000600380528-4