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

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

2011-12-16

arxiv.org/abs/1112.3767v1

Pramana: Journal of Physics, Vol. 73, pages 387-395, 2009

Physics

Mathematical Physics

Revtex, 9 pages, Talk delivered by B. P. Mandal in the International conference on "Non-Hermitian Hamiltonians in Quantum Phys

Scientific paper

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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