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    4. Volume 89
    5. Issue 3

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/089/03/0035

    • Keywords

       

      Eigenfunctions; integrable billiards; nonseparable systems

    • Abstract

       

      For planar integrable billiards, the eigenstates can be classified with respect to a quantity determined by the quantum numbers. Given the quantum numbers as $m$, $n$, the index which represents a class is $c = m$ mod $kn$ for a natural number, $k$. We show here that the entire tower of states can be generated from an initially given state by the application of the operators introduced here. Thus, these operators play the same role for billiards as raising and lowering operators in angular momentum algebra.

    • Author Affiliations

       

      AYUSH KUMAR MANDWAL1 SUDHIR R JAIN2 3

      1. Complexity Science Group, University of Calgary, Calgary, AB T2N 1N4, Canada
      2. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India
      3. Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400 094, India

    • Dates

       
      Published
      19 September 2017
      Manuscript received
      25 July 2016
      Manuscript revised
      22 March 2017
      Accepted
      6 April 2017
      Early published
      Unedited version published online
      Final version published online
      16 August 2017

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

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