T D Frank 2004 J. Phys. A: Math. Gen. 37 3561 doi:10.1088/0305-4470/37/11/001
T D Frank
Show affiliationsAmong others, Uhling and Uhlenbeck, Kaniadakis and Quarati and Kadanoff have suggested to describe the evolution of quantum systems exhibiting Fermi–Dirac and Bose–Einstein statistics by means of classical but nonlinear evolution equations for density measures such as generalized Boltzmann equations and nonlinear Fokker–Planck equations. We use this approach in order to derive classical Langevin equations for quantum systems and apply the Langevin equations thus obtained to two fundamental quantum systems, namely, the free electron gas and blackbody radiation.
05.30.Fk Fermion systems and electron gas
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)
Issue 11 (19 March 2004)
Received 30 January 2004
Published 2 March 2004
T D Frank 2004 J. Phys. A: Math. Gen. 37 3561
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