SCIENTIFIC ABSTRACT ORAYEVSKIY, A.N. - ORAYEVSKIY, I.N.
Document Type:
Collection:
Document Number (FOIA) /ESDN (CREST):
CIA-RDP86-00513R001238120013-0
Release Decision:
RIF
Original Classification:
S
Document Page Count:
100
Document Creation Date:
January 3, 2017
Document Release Date:
August 1, 2000
Sequence Number:
13
Case Number:
Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
File:
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Body:
0548ci
S OV/j, 4 1 - 2 - 2- - 5 / 2_',
Spontaneous Radiation of a Molecule Inside a esonator
resonator. The aim of this article is to derive a general
formula for the radiation probability of a molecule in a
resonator. It is assumed that the energy spectruin of i-)
molecule inside the resonator consists of two non-overlappiiig
continuous bands having an identical width 6E and
average levels EI and E 2 - The ensemble of the con-
tinuous quantui-ii numbers determining a state will be
denoted by a ; the energy in the state a is equal to
Ea . The problein consists of determining the probability
W0 of a spontaneous transition (per unit time) of the
molecule from a state a 2 corresponding to the second
energy band into a state a 1 in the first energy band.
if WC r1% is Lhe probability of a spontaneous transitioij
a 1CE :_1
from the state a, into the interval (a C11 + da
Card2/*)~
05h8O
SOV/141-2-2-5/22
Spontaneous Radiation of a Molecule Inside a Resonator
the desired probability is expressed by:
W f(E )well da da
cm~ ~ CL2 a2 CL1 1 2
bE
where f(ea2 is the probability that the molecule is
In the state (CX2, a2 + da.) . It is shown that the
probability we" is given by Rq (9). By substituting
a 2CL1
Eq (9) into Eq (2), it is possible to obtain an expressi,-,:,.
for W Cn . This can only be evaluated if the functions
f(E CE 2)and PQlCX 2~2 are known. As regards the latter
it is assumed that it is equal to p1, . Th.
1 '~2
probability can then be written as Eq (10), where
Card3/5., 4!N wn = A E/h Two special cases can now be considered,
4
05480
SOV/141-2-2-5/22
spontaneous Radiation of a Molecule I"ide a Resonator
Wh an &w,,