Share Email Print

Proceedings Paper

Statistical approximation in line wing theory
Author(s): Stanislav D. Tvorogov; Olga B. Rodimova
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

I t i 5 we 1 1 known t hat the spectral 1 i ne shape i s def i ned as F(w) = :f P(WWjf)I<fXi<I (1) where i,f denote the initial and final states of the absorbing system, w= wi_ W is the transition frequency, X is the dipole moment operator, p is the density matrix of the system. The system under consideration is the molecular gas in a volume treated as a unified quantum-mechanical object. It can be seen from Eq. ( 1 ) that the 1 me shape is the result of stat ist ical averaging of the delta-function of the argument representing the energy conservation law under the absorption. For calculating F(w) the exact state energies and wave functions of the system or, after transition to the binary approximation, the wave functions and states of two interacting molecules and the characteristics of the statistical ensemble should be available. Usually the expression describing F(c) in term of the correlation function c(t) is used in calculat ions

Paper Details

Date Published: 1 July 1992
PDF: 12 pages
Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); doi: 10.1117/12.131159
Show Author Affiliations
Stanislav D. Tvorogov, Institute of Atmospheric Optics (Russia)
Olga B. Rodimova, Institute of Atmospheric Optics (Russia)

Published in SPIE Proceedings Vol. 1811:
Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy
Leonid N. Sinitsa, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?