Title

A perturbation expansion for correlation functions via the Wigner distribution

Document Type

Article

Publication Date

1-1-1986

Abstract

We compute the coordinate correlation 1 2 the Wigner phase space distribution, for a system with Hamiltonian H = H0 + λH1, where the canonical ensemble Wigner distribution corresponding to H0 is known exactly. Perturbation expansions in powers of λ, for the correlation function and the Wigner distribution, are developed. By avoiding an expansion in powers of h{stroke}, we obtain results whose validity is not restricted to the near-classical regime, in contrast to the Wigner-Kirkwood approach. We illustrate our results by application to the one-dimensional anharmonic oscillator, and the relation to other perturbation methods (Lindstedt-Poincaré, Green's Function) is explored. By virtue of the fluctuation-dissipation theorem, it is anticipated that such results will also be useful for the investigation of transport problems. © 1986.

Publication Source (Journal or Book title)

Superlattices and Microstructures

First Page

57

Last Page

64

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