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arXiv · hep-th/9804191

Shape Invariant Natanzon Potentials from Potential Algebra

Asim Gangopadhyayaa·Jeffry V. Mallow·Uday P. Sukhatme
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Abstract

Using the underlying algebraic structures of Natanzon potentials, we discuss conditions that generate shape invariant potentials. In fact, these conditions give all the known shape invariant potentials corresponding to a translational change of parameters. We also find that while the algebra for the general Natanzon potential is $SO(2,2)$, a subgroup $SO(2,1)$ suffices for all the shape invariant problems of Natanzon type.

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Asim Gangopadhyayaa, Jeffry V. Mallow, Uday P. Sukhatme. 1998-05-12. Shape Invariant Natanzon Potentials from Potential Algebra. https://arxiv.org/abs/hep-th/9804191

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