Thursday, April 5, 2012

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

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