Shape Invariant potentials depending on n parameters transformed by translation
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
Shape Invariant potentials in the sense of [Gendenshte\"{\i}n L.\'E., 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.
Cite
@article{arxiv.hep-th/0003266,
title = {Shape Invariant potentials depending on n parameters transformed by translation},
author = {José F. Cariñena and Arturo Ramos},
journal= {arXiv preprint arXiv:hep-th/0003266},
year = {2008}
}
Comments
19 pages, Latex, iopart.sty, to appear in J. Phys. A: Math. Gen. (2000)