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arXiv · hep-th/0003266

Shape Invariant potentials depending on n parameters transformed by translation

José F. Cariñena·Arturo Ramos
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Abstract

Shape Invariant potentials in the sense of [Gendenshte\"ın L.É., JETP Lett. 38, (1983) 356] which depend on more than two parameters are not know to date. In [Cooper F., Ginocchio J.N. and Khare A., Phys. Rev. {\bf 36 D}, (1987) 2458] was posed the problem of finding a class of Shape Invariant potentials which depend on n parameters transformed by translation, but it was not solved. We analyze the problem using some properties of the Riccati equation and we find the general solution.

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José F. Cariñena, Arturo Ramos. 2000-03-29. Shape Invariant potentials depending on n parameters transformed by translation. https://doi.org/10.1088/0305-4470%2F33%2F17%2F305

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