Quantum transport theory

DOI10.1080/00411459808205630zbMath0913.35136OpenAlexW2082125202MaRDI QIDQ4211714

B. Toomire, Paul F. Zweifel

Publication date: 10 June 1999

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

Full work available at URL: https://doi.org/10.1080/00411459808205630

zbMATH Keywords

uniquenessWigner equationSchrödinger equationsemiconductor deviceinflow boundary conditionssteady-state currentlinear quantum transport problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• On a one-dimensional Schrödinger-Poisson scattering model
• Quantum BGK modes for the Wigner-poisson system
• RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION
• The Wigner transform and the Wigner-poisson system
• Boundary conditions in quantum transport theory
• An Analysis of the Quantum Liouville Equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems