New QES Hermitian as well as non-Hermitian PT invariant Potentials
arXiv:1112.3767
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.
arXiv commentRevtex, 9 pages, Talk delivered by B. P. Mandal in the International conference on "Non-Hermitian Hamiltonians in Quantum Physics" held at BARC, Mumbai, India during January 13-16, 2009