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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019