Symmetry considerations in pressure-broadening theory

A. Ben-Reuven*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Symmetry properties of the Zwanzig-Fano relaxation matrix are studied. Its invariance under rotations and inversion is proven for isotropic gases, to all orders in the gas density. Each multipole radiation operator is confined to a distinct invariant subspace in the Liouville space of operators. These invariant subspaces form the basis for the reduction of the relaxation matrix; therefore, the various multipole spectra are broadened independently. Properties of the relaxation matrix under Liouville conjugation are studied, and expressions are given relating matrix elements in which Liouville-conjugate pairs of vectors are involved.

Original languageEnglish
Pages (from-to)34-40
Number of pages7
JournalPhysical Review
Issue number1
StatePublished - 1966
Externally publishedYes


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