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Journal of Physics A Mathematical and General

Non-perturbative solution of a quantum mechanical oscillator interacting with a specific environment

E. Badralexe, R K Gupta, W. Scheid

Published Feb 1, 1984• 4 citations
Publisher

Abstract

A quantum mechanical model of an oscillator interacting linearly with an environment is treated by the method of perturbation series expansion. For a special class of environments and interactions, this series is summed up to all orders. An integral equation for the time dependence of the coordinate operator of the oscillator is obtained, which is solved analytically by the method of Laplace transformations. General conditions are stated for a dissipative behaviour of the special class of environments considered. An example, which is widely applicable, is discussed.

DOI
10.1088/0305-4470/17/2/020

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