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

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    • 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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      Posted on July 25, 2019

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