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Quantum subdynamics in view of Einstein's theory of Brownian motion

Sumiyoshi Abe and A.K. Rajagopal

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 129-132

Abstract: A quantum-mechanical version of Einstein's 1905 theory of Brownian motion is presented. Starting from the Hamiltonian dynamics of an isolated composite of objective and environmental systems, subdynamics for the objective system is derived in the spirit of Einstein. The resulting master equation is found to have the Lindblad structure.

Keywords: Quantum open systems; Einstein's theory of Brownian motion; Positive operator-valued measure; Lindblad equation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:129-132

DOI: 10.1016/j.physa.2006.08.070

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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