Square billiard with a magnetic flux
Chaotic Dynamics
2009-10-31 v2 Mesoscale and Nanoscale Physics
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.
Keywords
Cite
@article{arxiv.nlin/0003009,
title = {Square billiard with a magnetic flux},
author = {R. Narevich and R. E. Prange and Oleg Zaitsev},
journal= {arXiv preprint arXiv:nlin/0003009},
year = {2009}
}
Comments
15 pages, 14 eps figures; added the following comment about the availability of figures: the higher quality figures are available in postscript from the authors at [email protected]