New QES Hermitian as well as non-Hermitian PT invariant Potentials
  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. 
Avinash Khare and Bhabani Prasad Mandal
math-ph math.MP quant-ph