Semiclassical quantization for the spherically symmetric systems under an Aharonov-Bohm magnetic flux

W. F. Kao*, P. G. Luan, D. H. Lin

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    6 Scopus citations

    Abstract

    The semiclassical quantization rule is derived for a system with a spherically symmetric potential [Formula Presented] and an Aharonov-Bohm magnetic flux. Numerical results are presented and compared with known results for models with [Formula Presented] It is shown that the results provided by our method are in good agreement with previous results. One expects that the semiclassical quantization rule shown in this paper will provide a good approximation for all principle quantum numbers, including the large principle quantum number [Formula Presented] The rule is even derived in the large principal quantum number limit [Formula Presented] We also discuss the power parameter [Formula Presented] dependence of the energy spectra pattern in this paper.

    Original languageEnglish
    Article number052108
    Pages (from-to)1-10
    Number of pages10
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume65
    Issue number5
    DOIs
    StatePublished - 1 May 2002

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