Long Time Asymptotics for Quantum Particles in a Periodic Potential

DOI10.1103/PhysRevLett.77.1198zbMath0944.81012OpenAlexW1999649201WikidataQ74576237 ScholiaQ74576237MaRDI QIDQ4492378

Herbert Spohn

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrevlett.77.1198

zbMATH Keywords

hydrodynamic limitwave packetsemiclassical evolution

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50)

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Cites Work

• The essentially commutative dilations of dynamical semigroups on \(M_ n\)
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• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
• Observation of quantum particles on a large space-time scale
• Semiclassical approximation for equations with periodic coefficients
• A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential