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

P. Caldirola and L.A. Lugiato

Physica A: Statistical Mechanics and its Applications, 1982, vol. 116, issue 1, 248-264

Abstract: 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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:116:y:1982:i:1:p:248-264

DOI: 10.1016/0378-4371(82)90242-4

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