A discrete-velocity, stationary Wigner equation

DOI10.1063/1.1318732zbMath1019.82020OpenAlexW2061165522MaRDI QIDQ2738244

Horst Lange, Anton Arnold, Paul F. Zweifel

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/25116

zbMATH Keywords

well-posednessboundary value problemslabdiscrete-velocity modelone-dimensional stationary linear Wigner equation

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (9)

ON A DISCRETE MODEL FOR QUANTUM TRANSPORT IN SEMI-CONDUCTOR DEVICES ⋮ LARGE-TIME BEHAVIOR OF DISCRETE KINETIC EQUATIONS WITH NON-SYMMETRIC INTERACTIONS ⋮ Parity-decomposition and moment analysis for stationary Wigner equation with inflow boundary conditions ⋮ Well-posedness of a non-local abstract Cauchy problem with a singular integral ⋮ A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ A Revised Wigner Function Approach for Stationary Quantum Transport ⋮ THE WIGNER–FOKKER–PLANCK EQUATION: STATIONARY STATES AND LARGE TIME BEHAVIOR ⋮ A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

Cites Work

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• A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode

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