Binary quantum collision operators conserving mass momentum and energy.

DOI10.1016/S1631-073X(03)00185-7zbMath1037.82030OpenAlexW2043419267MaRDI QIDQ1408217

Pierre Degond, Christian Ringhofer

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00185-7

zbMATH Keywords

Wigner distributionBoltzmann collision operatornonlocal quantum entropy principles

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models ⋮ Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations ⋮ An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes ⋮ Numerical approximation of a quantum drift-diffusion model ⋮ Quantum transport and Boltzmann operators

Cites Work

• The Boltzmann equation and its applications
• A note on quantum moment hydrodynamics and the entropy principle.
• An analysis of quantum Fokker-Planck models: a Wigner function approach
• Unnamed Item

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