• Finite discontinuities in the energy eigenvalue spectra of anharmonic oscillators

    • Fulltext

       

        Click here to view fulltext PDF


      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

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.