Propagation in crossed electric and magnetic fields: The quantum source approach

dc.creatorKramer, Tobias
dc.creatorBracher, Christian
dc.date2003-09-18
dc.date.accessioned2026-07-07T02:53:32Z
dc.date.available2026-07-07T02:53:32Z
dc.descriptionThe propagation of electrons in static and uniform electromagnetic fields is a standard topic of classical electrodynamics. The Hamilton function is given by a quadratic polynomial in the positions and momenta. The corresponding quantum-mechanical problem has been analyzed in great detail and the eigenfunctions and time evolution operators are well-known. Surprisingly, the energy-dependent counterpart of the time-evolution operator, the Green function, is not easily accessible. However in many situations one is interested in the evolution of a system that started with emitted particles that carry a specific energy. In the following we present a suitable approach to study this type of matter waves arising from a localized region in space. Two applications are discussed, the photodetachment current in external fields and the quantum Hall effect in a fermionic electron gas.
dc.description38 pages, 25 figures, to be published in the proceedings of the symposium "Symmetries in Science XIII", Bregenz, Austria (2003)
dc.identifierhttps://arxiv.org/abs/cond-mat/0309424
dc.identifierhttp://arxiv.org/abs/cond-mat/0309424
dc.identifier"Symmetries in Science XI", Kluwer 2004, editors B. Gruber et al, pp. 317-353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22250
dc.subjectCondensed Matter
dc.titlePropagation in crossed electric and magnetic fields: The quantum source approach
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