Statistical approximation in line wing theory

Stanislav D. Tvorogov; Olga B. Rodimova

doi:10.1117/12.131159

1 July 1992 Statistical approximation in line wing theory

Stanislav D. Tvorogov, Olga B. Rodimova

Proceedings Volume 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy; (1992) https://doi.org/10.1117/12.131159
Event: Tenth All-Union Symposium and School on High Resolution Molecular Spectroscopy, 1991, Omsk, Russian Federation

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

Citation Download Citation

Stanislav D. Tvorogov and Olga B. Rodimova "Statistical approximation in line wing theory", Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); https://doi.org/10.1117/12.131159

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