Asymptotic analysis of a scaled wigner equation and quantum scattering

DOI10.1080/00411459508206018zbMath0870.45003OpenAlexW2079738287MaRDI QIDQ4337833

Francis Nier

Publication date: 7 September 1997

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

Full work available at URL: https://doi.org/10.1080/00411459508206018

zbMATH Keywords

Wigner functionscalingasymptoticscattering theoryelectron transportquantum Liouville equation

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) Asymptotics of solutions to integral equations (45M05) (S)-matrix theory, etc. in quantum theory (81U20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime ⋮ Dynamical phase transition for a quantum particle source ⋮ A semi-classical picture of quantum scattering ⋮ Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows ⋮ On absorbing boundary conditions for quantum transport equations ⋮ Mathematical and computational methods for semiclassical Schrödinger equations

Cites Work

• On Wigner measures
• The S-matrix in classical mechanics
• On the equivalence of the Schrödinger and the quantum Liouville equations
• Absorbing boundary conditions for the simulation of quantum transport phenomena
• The weyl calculus of pseudo-differential operators
• On the Asymptotic Behavior of Certain Dynamical Systems
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