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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 | Affiliation: | 1,2), R. E. Prange , and Oleg Zaitsev ( U. of Maryland, College Park, U. of Kentucky, Lexington | 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. | Source: | arXiv, nlin.CD/0003009 | Other source: | [GID 568036] nlin.CD/0003009 | Services: | Forum | Review | PDF | Favorites |
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