Semiclassical results in the linear response theory.

DOI10.1016/S0003-4916(03)00041-1zbMath1079.82007arXivmath-ph/0211053MaRDI QIDQ1810587

Didier Robert, Monique Combescure

Publication date: 9 June 2003

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211053

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

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• Schrödinger evolution equations with magnetic fields
• SRB states and nonequilibrium statistical mechanics close to equilibrium
• Dynamical ensembles in stationary states.
• A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition
• Uniform semiclassical estimates for the propagation of quantum observables.
• Natural nonequilibrium states in quantum statistical mechanics
• Localization bounds for an electron gas
• Semiclassics of the quantum current
• RIGOROUS SEMICLASSICAL RESULTS FOR THE MAGNETIC RESPONSE OF AN ELECTRON GAS

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