ON A DISCRETE MODEL FOR QUANTUM TRANSPORT IN SEMI-CONDUCTOR DEVICES

DOI10.1081/TT-120015510zbMath1009.82021OpenAlexW2085552898MaRDI QIDQ4794384

Thierry Goudon, Stéphanie Lohrengel

Publication date: 1 May 2003

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

Full work available at URL: https://doi.org/10.1081/tt-120015510

zbMATH Keywords

Wigner equationdiscrete velocity modelsquantum transport

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit
• On Wigner measures
• The pseudo-differential approach to finite differences revisited
• A discrete-velocity, stationary Wigner equation
• On the equivalence of the Schrödinger and the quantum Liouville equations
• A Spectral Collocation Technique for the Solution of the Wigner–Poisson Problem
• ON THE CONVERGENCE OF SPECTRAL METHODS FOR THE WIGNER-POISSON PROBLEM
• Homogenization limits and Wigner transforms
• On the Quantum Correction For Thermodynamic Equilibrium
• An Analysis of the Quantum Liouville Equation
• Analysis of a Semidiscrete Version of the Wigner Equation
• Operator Splitting Methods Applied to Spectral Discretizations of Quantum Transport Equations
• An Operator Splitting Method for the Wigner–Poisson Problem

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