PARITY-DECOMPOSITION METHOD FOR THE STATIONARY WIGNER EQUATION WITH INFLOW BOUNDARY CONDITIONS

DOI10.1081/TT-100105935zbMath1006.82032OpenAlexW2054206604MaRDI QIDQ2780746

Luigi Barletti, Paul F. Zweifel

Publication date: 13 March 2003

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/tt-100105935

zbMATH Keywords

existenceuniquenessinitial-value problemPoisson equationregular solutioninflow boundary conditionsstationary Wigner equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

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 hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Boundary value problems in abstract kinetic theory
• A hybrid kinetic-quantum model for stationary electron transport
• On a one-dimensional Schrödinger-Poisson scattering model
• The Wigner transform and the Wigner-poisson system
• On the Quantum Correction For Thermodynamic Equilibrium
• An Analysis of the Quantum Liouville Equation