Zero-energy states for a class of quasi-exactly solvable rational potentials

Details Zero-energy states for a class of quasi-exactly solvable rational potentials Zero-energy states for a class of quasi-exactly solvable rational potentials

1997-03-20

arxiv.org/abs/quant-ph/9703037v1

Phys.Lett. A230 (1997) 1-6

Physics

Quantum Physics

LaTeX, 13 pages, 2 figures on request, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00213-2

Quasi-exactly solvable rational potentials with known zero-energy solutions
of the Schro\" odinger equation are constructed by starting from exactly
solvable potentials for which the Schr\" odinger equation admits an so(2,1)
potential algebra. For some of them, the zero-energy wave function is shown to
be normalizable and to describe a bound state.

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