Square billiard with a magnetic flux

Details Square billiard with a magnetic flux Square billiard with a magnetic flux

2000-03-02

arxiv.org/abs/nlin/0003009v2

Phys. Rev. E 62, 2046 (2000)

Nonlinear Sciences

Chaotic Dynamics

15 pages, 14 eps figures; added the following comment about the availability of figures: the higher quality figures are availa

Scientific paper

10.1103/PhysRevE.62.2046

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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