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arXiv · 0808.0326

Towards nonlinear quantum Fokker-Planck equations

Roumen Tsekov
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Abstract

It is demonstrated how the equilibrium semiclassical approach of Coffey et al. can be improved to describe more correctly the evolution. As a result a new semiclassical Klein-Kramers equation for the Wigner function is derived, which remains quantum for a free quantum Brownian particle as well. It is transformed to a semiclassical Smoluchowski equation, which leads to our semiclassical generalization of the classical Einstein law of Brownian motion derived before. A possibility is discussed how to extend these semiclassical equations to nonlinear quantum Fokker-Planck equations based on the Fisher information.

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Roumen Tsekov. 2011-04-16. Towards nonlinear quantum Fokker-Planck equations. https://doi.org/10.1007/s10773-008-9913-9

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