2000/03/06 by R. Narevich, R. E. Prange, Oleg Zaitsev +1 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Condensed matter physics #Diamagnetism #Dynamical billiards #Eigenvalues and eigenvectors #Flux (metallurgy) #Magnetic field #Magnetic flux #Mathematics #Nuclear physics research studies #Paramagnetism #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Square (algebra) #Wave function #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physreve.62.2046
published as Phys. Rev. E 62, 2046 (2000) · 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]
arxiv created 2000/03/06 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 wave functions are found. A number of interesting states are shown, together with their wave functions. 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.