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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/036/05/0531-0536

    • Keywords

       

      Energy spectrum; degeneracies; statistical properties

    • Abstract

       

      In some simple quantum mechanical systems, the degeneracy of typical energy levels grows as a power of the energy or size. We ask whether, after dividing out this average growth, there is a well defined probability distribution of scaled degeneracies in the limit of large size or energy. The answer is yes, for a free particle in a sphere or cube. For the sphere, the distribution of scaled degeneracies is shown to follow a circular law. For the cube, a numerical study shows that the distribution rises linearly for low values of the scaled degeneracy and decays exponentially for large values.

    • Author Affiliations

       

      Mustansir Barma1 V Subrahmanyam1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India

    • Dates

       
      Published
      May 1991
      Manuscript received
      28 February 1991

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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