• An approach to one-dimensional elliptic quasi-exactly solvable models

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/070/04/0575-0585

    • Keywords

       

      Quasi-exactly solvable potential; master function.

    • Abstract

       

      One-dimensional Jacobian elliptic quasi-exactly solvable second-order differential equations are obtained by introducing the generalized third master functions. It is shown that the solutions of these differential equations are generating functions for a new set of polynomials in terms of energy with factorization property. The roots of these polynomials are the same as the eigenvalues of the differential equations. Some one-dimensional elliptic quasi-exactly quantum solvable models are obtained from these differential equations.

    • Author Affiliations

       

      M A Fasihi1 M A Jafarizadeh2 3 4 M Rezaei2

      1. Department of Physics, Azarbijan University of Tarbiat Moallem, Tabriz 53714-161, Iran
      2. Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664, Iran
      3. Institute for Studies in Theoretical Physics and Mathematics, Tehran 19395-1795, Iran
      4. Research Institute for Fundamental Sciences, Tabriz 51664, Iran
    • 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

© 2017-2019 Indian Academy of Sciences, Bengaluru.