Solvable rational extensions of the Morse and Kepler-Coulomb potentials (1103.5023v1)

Published 25 Mar 2011 in math-ph, math.MP, and quant-ph

Abstract: We show that it is possible to generate an infinite set of solvable rational extensions from every exceptional first category translationally shape invariant potential. This is made by using Darboux-B\"acklund transformations based on unphysical regular Riccati-Schr\"odinger functions which are obtained from specific symmetries associated to the considered family of potentials.

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Authors (1)

Yves Grandati

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