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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/085/01/0053-0063

    • Keywords

       

      Schrödinger equation; exactly solvable potentials; supersymmetry; orthogonal polynomials; exceptional orthogonal polynomials.

    • Abstract

       

      We show that for the quantum mechanical problem which admit classical Laguerre/Jacobi polynomials as solutions for the Schrödinger equations (SE), will also admit exceptional Laguerre/Jacobi polynomials as solutions having the same eigenvalues but with the ground state missing after a modification of the potential. Then, we claim that the existence of these exceptional polynomials leads to the presence of non-trivial supersymmetry.

    • Author Affiliations

       

      K V S Shiv Chaitanya1 S Sree Ranjani2 Prasanta K Panigrahi3 R Radhakrishnan4 V Srinivasan4

      1. BITS Pilani, Hyderabad Campus, Jawahar Nagar, Shameerpet Mandal, Hyderabad 500 078, India
      2. Faculty of Science and Technology, ICFAI Foundation for Higher Education, Donthanapally, Hyderabad 501 203, India
      3. Indian Institute of Science Education and Research (IISER), Kolkata, Mohanpur Campus, Nadia 714 252, India
      4. Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025, India

    • Dates

       
      Published
      July 2015
      Manuscript received
      17 April 2014
      Accepted
      28 May 2014
      Early published
      14 January 2015

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