Shape Invariant Natanzon Potentials from Potential Algebra

Details Shape Invariant Natanzon Potentials from Potential Algebra Shape Invariant Natanzon Potentials from Potential Algebra

1998-04-29

arxiv.org/abs/hep-th/9804191v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file, 16 pages, Typographical errors and references corrected

Scientific paper

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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