Solvable rational extensions of the Morse and Kepler-Coulomb potentials

Details Solvable rational extensions of the Morse and Kepler-Coulomb potentials Solvable rational extensions of the Morse and Kepler-Coulomb potentials

2011-03-25

arxiv.org/abs/1103.5023v1

Physics

Mathematical Physics

Scientific paper

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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