Electron propagation in crossed magnetic and electric fields

Details Electron propagation in crossed magnetic and electric fields Electron propagation in crossed magnetic and electric fields

2003-07-30

arxiv.org/abs/quant-ph/0307228v1

J. Opt. B: Quantum Semiclass. Opt. 6 (2004), 21-27

Physics

Quantum Physics

11 pages, 2 figures, submitted

Scientific paper

10.1088/1464-4266/6/1/004

Laser-atom interaction can be an efficient mechanism for the production of coherent electrons. We analyze the dynamics of monoenergetic electrons in the presence of uniform, perpendicular magnetic and electric fields. The Green function technique is used to derive analytic results for the field--induced quantum mechanical drift motion of i) single electrons and ii) a dilute Fermi gas of electrons. The method yields the drift current and, at the same time it allows us to quantitatively establish the broadening of the (magnetic) Landau levels due to the electric field: Level number k is split into k+1 sublevels that render the $k$th oscillator eigenstate in energy space. Adjacent Landau levels will overlap if the electric field exceeds a critical strength. Our observations are relevant for quantum Hall configurations whenever electric field effects should be taken into account.

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