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    • Finite discontinuities in the energy eigenvalue spectra of anharmonic oscillators

      R K Agrawal V S Varma

      Research Articles Volume 36 Issue 5 May 1991 pp 489-496

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/036/05/0489-0496

    • Keywords

       

      Anharmonic; double-well; discontinuity; eigenvalue spectra

    • Abstract

       

      The existence of finite discontinuities in the energy eigenvalue spectra of certain multiterm potentials when their coupling parameters attain suitably chosen limiting values has been reported in the literature. We show that such discontinuities are also characteristic of such well-known systems as generalized anharmonic oscillators and the doubly anharmonic oscillator in one dimension. The present study strengthens the general conjecture that eigenvalue spectra are likely to display discontinuities in situations where a potential undergoes an abrupt change in shape with smooth variation of its coupling parameters.

    • Author Affiliations

       

      R K Agrawal1 V S Varma1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi - 110 007, India

    • Dates

       
      Published
      May 1991
      Manuscript received
      17 September 1990

  • Pramana – Journal of Physics | News

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