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arXiv · 1112.3767

New QES Hermitian as well as non-Hermitian PT invariant Potentials

Avinash Khare·Bhabani Prasad Mandal
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Abstract

We start with quasi-exactly solvable (QES) Hermitian (and hence real) as well as complex 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 PT-invariant complex QES periodic potentials. We study in detail the various properties of the corresponding Bender-Dunne polynomials.

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Avinash Khare, Bhabani Prasad Mandal. 2011-12-16. New QES Hermitian as well as non-Hermitian PT invariant Potentials. https://arxiv.org/abs/1112.3767

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