• Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of $\mathcal{PT}$ symmetry

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/02/0337-0347

    • Keywords

       

      Exact solvability; supersymmetry; $\mathcal{PT}$ symmetry; rational potentials.

    • Abstract

       

      We develop a systematic approach to construct novel completely solvable rational potentials. Second-order supersymmetric quantum mechanics dictates the latter to be isospectral to some well-studied quantum systems. $\mathcal{PT}$ symmetry may facilitate reconciling our approach to the requirement that the rationally extended potentials be singularity free. Some examples are shown.

    • Author Affiliations

       

      B Bagchi1 C Quesne2 R Roychoudhury3

      1. Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
      2. Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels, Belgium
      3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700 035, India
    • Dates

       
  • Pramana – Journal of Physics | News

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