Connection between the Schrödinger equation for dissipative systems and the master equation

We study the relations between the Caldirola-Kanai (C-K) description of friction in quantum mechanics and the fundamental master equation (ME) approach. The original C-K equation is shown to be equivalent to a ME without fluctuation term. In the case of the damped harmonic oscillator, the C-K equation with stochastic potential turns out to be equivalent to the complete ME. The formulation in terms of Wigner function is also worked out.

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Year of publication:	1982
Authors:	Caldirola, P. ; Lugiato, L.A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 116.1982, 1, p. 248-264
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011061310