Title

Phonon frequency shifts in an anharmonic lattice via the Wigner distribution function

Document Type

Article

Publication Date

1-1-1986

Abstract

A recently developed perturbation expansion for quantum correlation functions expressed as phase-space averages is applied to an anharmonic lattice, yielding the first-order frequency shift due to quartic anharmonicity. Our method is novel in that we employ a representation of the Wigner distribution function in terms of phase-space equivalents of creation and annihilation operators, rather than the customary (p,q) representation. Since no expansion in powers of Latin small letter h with stroke is involved, the validity of the result is not restricted to the near-classical regime, in contrast to the usual Wigner-Kirkwood expansion. © 1986 The American Physical Society.

Publication Source (Journal or Book title)

Physical Review B

First Page

5678

Last Page

5683

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