Wave Function Evolution of a Dissipative System

Preprint

6 July 1993

preprint
Published by arXiv in arXiv

Abstract

For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an effective Hamiltonian, the other represents the effect of the bath, i.e., the Brownian motion, thus clarifying the structure of the wave function of the system whose energy is dissipated by its interaction with the bath. No path integral technology is needed in this treatment. The derivation of the Weisskopf-Wigner line width theory follows easily.

Keywords

ENERGY IS DISSIPATED
INTEGRAL TECHNOLOGY
FUNCTION EVOLUTION
DISSIPATIVE SYSTEM
WAVE FUNCTION
HILBERT SPACE
EVOLUTION
FRICTION

All Related Versions

Version 1, 1993-07-06, ArXiv
Version 2, 1993-07-14, ArXiv
Version 3, 1993-08-06, ArXiv
Published version: Physical Review A, 49 (1), 592.

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