Quasiclassical Equations of Motion for Nonlinear Brownian Systems

Preprint

9 June 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9306013

Abstract

Following the formalism of Gell-Mann and Hartle, phenomenological equations of motion are derived from the decoherence functional formalism of quantum mechanics, using a path-integral description. This is done explicitly for the case of a system interacting with a ``bath'' of harmonic oscillators whose individual motions are neglected. The results are compared to the equations derived from the purely classical theory. The case of linear interactions is treated exactly, and nonlinear interactions are compared using classical and quantum perturbation theory.

Keywords

QUASICLASSICAL EQUATIONS
EQUATIONS OF MOTION
PERTURBATION THEORY
NONLINEAR BROWNIAN
BROWNIAN SYSTEMS
OSCILLATORS
MOTIONS

All Related Versions

Version 1, 1993-06-09, ArXiv
Published version: Physical Review D, 47 (8), 3383.

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