Journal of Physics A Mathematical and General

Dissipative quantum dynamics: solution of the generalized von Neumann equation for the damped harmonic oscillator

Martin Hensel, H. J. Korsch

Published Apr 7, 1992• 14 citations

Abstract

A recently proposed generalized von Neumann equation describing dissipative time evolution of quantum systems is applied to a damped and driven harmonic oscillator. Utilizing Lie algebraic methods the nonlinear operator equation is solved and from this solution the behaviour of the mean value (x) is extracted, including both amplitude and phaseshift relative to the driving force. A differential equation for (x) is derived and the damping constant is identified.

DOI: 10.1088/0305-4470/25/7/040

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