Global solutions of the mean–field, very high temperature Caldeira–Leggett master equation

DOI10.1090/S0033-569X-06-01005-3zbMath1115.82025OpenAlexW2087591621MaRDI QIDQ3429104

José Luis López, Juanjo Nieto

Publication date: 30 March 2007

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-06-01005-3

zbMATH Keywords

Fokker-Planck equationexistence of a unique global-in-time mild solutionWigner-Poisson-Fokker-Planck equation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) PDEs in connection with quantum mechanics (35Q40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type ⋮ A hydrodynamic approach to multidimensional dissipation-based Schrödinger models from quantum Fokker-Planck dynamics ⋮ On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions

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• Exponential decay in time of solutions of the viscous quantum hydrodynamic equations
• An analysis of quantum Fokker-Planck models: a Wigner function approach
• The Wigner-Poisson-Fokker-Planck system: global-in-time solution and dispersive effects
• Self-consistent relaxation-time models in quantum mechanics

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