On absorbing boundary conditions for quantum transport equations

DOI10.1051/m2an/1994280708531zbMath0821.45002OpenAlexW2264530275MaRDI QIDQ4698860

Anton Arnold

Publication date: 8 October 1995

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193762

zbMATH Keywords

boundary value problemsWigner equationabsorbing boundary conditionsquantum transport equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

The Wigner-Poisson-\(X_\alpha\) system in Wiener algebra ⋮ THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE ⋮ A comparison of transparent boundary conditions for the Fresnel equation ⋮ An analysis of the Wigner-Poisson problem with inflow boundary conditions ⋮ Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension ⋮ On the three-dimensional Wigner--Poisson problem with inflow boundary conditions ⋮ A paraxial model for the propagation of light: the boundary value problem for the Schrödinger-advection equation in a tilted frame

Cites Work

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• Asymptotic analysis of a scaled wigner equation and quantum scattering
• A quantum-transport model for semiconductors : the Wigner-Poisson problem on a bounded Brillouin zone
• An Analysis of the Quantum Liouville Equation
• An Operator Splitting Method for the Wigner–Poisson Problem
• Initial boundary value problems for hyperbolic systems

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