• Corpus ID: 249282718

Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere

@inproceedings{Quesne2022QuasiexactlySE,
  title={Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere},
  author={C Quesne},
  year={2022}
}
We consider a family of extensions of the Kepler-Coulomb potential on a d dimensional sphere and analyze it in a deformed supersymmetric framework, wherein the starting potential is known to exhibit a deformed shape invariance property. We show that the members of the extended family are also endowed with such a property, provided some constraint conditions relating the potential parameters are satisfied, in other words they are conditionally deformed shape invariant. Since, in the second step… 

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