Energy levels of a particle confined in a super-circular box View Full Text


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Article Info

DATE

2007-10-05

AUTHORS

N. Bera, J. K. Bhattacharjee, S. Mitra, S. P. Khastgir

ABSTRACT

.We find the energy levels of a free particle confined in a two dimensional infinite potential well having super-circular boundary (|x|n+|y|n=an where n is a rational number and a is a positive real number) by perturbing about the equivalent circle (n=2). The ground state energies are very accurate over a wide range of n and can be improved further by introducing a phenomenological constant determined from the knowledge of exact results available for diamond (n=1). For excited states, we find that the shape effect can cause parametric resonance which can lead to singlet-triplet crossing. More... »

PAGES

41-50

References to SciGraph publications

  • 1977-11. Mathematical Games in SCIENTIFIC AMERICAN
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjd/e2007-00282-6

    DOI

    http://dx.doi.org/10.1140/epjd/e2007-00282-6

    DIMENSIONS

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