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    • Spectral properties of supersymmetric shape invariant potentials

      Barnali Chakrabarti

      Research Articles Volume 70 Issue 1 January 2008 pp 41-50

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/070/01/0041-0050

    • Keywords

       

      Supersymmetry; shape invariant potential; spectral statistics.

    • Abstract

       

      We present the spectral properties of supersymmetric shape invariant potentials (SIPs). Although the folded spectrum is completely random, unfolded spectrum shows that energy levels are highly correlated and absolutely rigid. All the SIPs exhibit harmonic oscillator-type spectral statistics in the unfolded spectrum. We conjecture that this is the reflection of shape invariant symmetry.

    • Author Affiliations

       

      Barnali Chakrabarti1

      1. Department of Physics, Lady Braboune College, P1/2 Surawardy Avenue, Kolkata 700 017, India

    • Dates

       
      Published
      January 2008
      Manuscript received
      31 January 2005
      Manuscript revised
      11 July 2007
      Accepted
      4 August 2007

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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