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Square billiard with a magnetic flux

R. Narevich·R. E. Prange·Oleg Zaitsev
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Abstract

Eigenstates 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.

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R. Narevich, R. E. Prange, Oleg Zaitsev. 2000-03-06. Square billiard with a magnetic flux. https://doi.org/10.1103/physreve.62.2046

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