Novel quasi-exactly solvable models with anharmonic singular potentials

Details Novel quasi-exactly solvable models with anharmonic singular potentials Novel quasi-exactly solvable models with anharmonic singular potentials

2012-01-17

arxiv.org/abs/1201.3427v2

Physics

Mathematical Physics

LaTex 18 pages. Mainly cosmetic changes, e.g. more physical motivations and references added and presentation improved

Scientific paper

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.

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