On the Long Time Behavior of the Quantum Fokker-Planck equation

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dc.creatorSparber, C.
dc.creatorCarrillo, J. A.
dc.creatorDolbeault, J.
dc.creatorMarkowich, P. A.
dc.date2002-04-16
dc.date.accessioned2026-07-07T04:29:08Z
dc.date.available2026-07-07T04:29:08Z
dc.descriptionWe analyze the long time behavior of transport equations for a class of dissipative quantum systems with Fokker-planck type scattering operator, subject to confining potentials of harmonic oscillator type. We establish the conditions under which there exists a thermal equilibrium state and prove exponential decay towards it, using (classical) entropy-methods. Additionally, we give precise dispersion estimates in the cases were no equilibrium state exists.
dc.identifierhttps://arxiv.org/abs/math-ph/0204032
dc.identifierhttp://arxiv.org/abs/math-ph/0204032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57044
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject47N50, 35K15, 46N55
dc.titleOn the Long Time Behavior of the Quantum Fokker-Planck equation
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