• New quasi-exactly solvable Hermitian as well as non-Hermitian $\mathcal{PT}$ -invariant potentials

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      https://www.ias.ac.in/article/fulltext/pram/073/02/0387-0395

    • Keywords

       

      Quasi-exactly solvable; non-Hermitian; $\mathcal{PT}$ symmetry; Bender and Dunne polynomials.

    • Abstract

       

      We start with quasi-exactly solvable (QES) Hermitian (and hence real) as well as complex $\mathcal{PT}$ -invariant, double sinh-Gordon potential and show that even after adding perturbation terms, the resulting potentials, in both cases, are still QES potentials. Further, by using anti-isospectral transformations, we obtain Hermitian as well as $\mathcal{PT}$ - invariant complex QES periodic potentials. We study in detail the various properties of the corresponding Bender–Dunne polynomials.

    • Author Affiliations

       

      Avinash Khare1 Bhabani Prasad Mandal2

      1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
      2. Department of Physics, Banaras Hindu University, Varanasi 221 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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