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K. Hornberger
Master Equation for a Quantum Particle in a Gas
Phys. Rev. Lett. 97, 060601 (2006)

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 nonperturbatively 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.

(4 pages)   [pdf, journal]                   (c) The American Physical Society

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