We stress the relevance of the two features of translational invariance and atomic nature of the gas in the quantum description of the motion of a massive test particle in a gas, corresponding to the original picture of Einstein used in the characterization of Brownian motion. The master equation describing the reduced dynamics of the test particle is of Lindblad form and complies with the requirement of covariance under translations.

Kinetic description of quantum Brownian motion / B. Vacchini, F. Petruccione. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6355. - 159:1(2008), pp. 135-141.

Kinetic description of quantum Brownian motion

B. Vacchini
Primo
;
2008

Abstract

We stress the relevance of the two features of translational invariance and atomic nature of the gas in the quantum description of the motion of a massive test particle in a gas, corresponding to the original picture of Einstein used in the characterization of Brownian motion. The master equation describing the reduced dynamics of the test particle is of Lindblad form and complies with the requirement of covariance under translations.
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/42040
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