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Master equation for a quantum particle in a gas

Klaus Hornberger
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Abstract

The equation for the quantum motion of a Brownian particle in a gaseous environment is derived by means of S-matrix theory. This quantum version of the linear Boltzmann equation accounts non-perturbatively for the quantum effects of the scattering dynamics and describes decoherence and dissipation in a unified framework. As a completely positive master equation it incorporates both the known equation for an infinitely massive Brownian particle and the classical linear Boltzmann equation as limiting cases.

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Klaus Hornberger. 2006-09-05. Master equation for a quantum particle in a gas. https://doi.org/10.1103/physrevlett.97.060601

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