Master equation for a quantum particle in a gas

Details Master equation for a quantum particle in a gas Master equation for a quantum particle in a gas

2006-07-13

arxiv.org/abs/quant-ph/0607085v2

Phys. Rev. Lett. 97, 060601 (2006)

Physics

Quantum Physics

5 pages; published version

Scientific paper

10.1103/PhysRevLett.97.060601

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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