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29 March 2024
 
  » arxiv » nlin.CD/0003009

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Square billiard with a magnetic flux
R. Narevich ; R. E. Prange ; Oleg Zaitsev ;
Date 3 Mar 2000
Journal Phys. Rev. E 62, 2046 (2000)
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall
Affiliation1,2), R. E. Prange , and Oleg Zaitsev ( U. of Maryland, College Park, U. of Kentucky, Lexington
AbstractEigenstates and energy levels of a square quantum billiard in a magnetic field, or with an Aharonov-Bohm flux line, are found in quasiclassical approximation, that is, for high enough energy. Explicit formulas for the energy levels and wavefunctions are found. A number of interesting states are shown, together with their wavefunctions. Some states are diamagnetic, others paramagnetic, still others both dia- and paramagnetic. Some states are strongly localized. Related systems and possible experiments are briefly mentioned.
Source arXiv, nlin.CD/0003009
Other source [GID 568036] nlin.CD/0003009
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