SUSUSY quantum mechanics

Details SUSUSY quantum mechanics SUSUSY quantum mechanics

1996-09-14

arxiv.org/abs/quant-ph/9609009v1

Int.J.Mod.Phys.A12:171-176,1997

Physics

Quantum Physics

7 pages, 2 encapsulated postscript figures, uses epsf.sty talk given at the II International Workshop on Classical and Quantum

Scientific paper

10.1142/S0217751X97000232

The exactly solvable eigenproblems in Schr\"odinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham-Moses potentials as a particular case.

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