1201.3427 (Davids Agboola et al.)

Novel quasi-exactly solvable models with anharmonic singular potentials    [PDF]

Davids Agboola, Yao-Zhong Zhang

We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe ansatz method. For each case, we give closed-form solutions for the energies and the wave functions as well as analytical expressions for the allowed potential parameters in terms of a set of algebraic equations.

View original: http://arxiv.org/abs/1201.3427