Self-Broadening of Molecular Spectral Lines. I. General Theory

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Abstract
A general theoretical treatment of spectral line broadening of gas molecules is given using a resolvent operator formalism in Liouville space. The methods introduced previously by Mead for treating resonance broadening in monatomic gases are developed and generalized here for molecular spectral lines. The basic equation relating the susceptibility to resolvent operator matrix elements is derived here for the case of a molecular gas and takes into account the rotational-vibrational structure of the spectra and the presence of complicated molecular interactions.