Propagation in crossed electric and magnetic fields: The quantum source approach
Abstract
The 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.
Keywords
Cite
@article{arxiv.cond-mat/0309424,
title = {Propagation in crossed electric and magnetic fields: The quantum source approach},
author = {Tobias Kramer and Christian Bracher},
journal= {arXiv preprint arXiv:cond-mat/0309424},
year = {2007}
}
Comments
38 pages, 25 figures, to be published in the proceedings of the symposium "Symmetries in Science XIII", Bregenz, Austria (2003)