Inter-Relations of Solvable Potentials

Asim Gangopadhyaya; Prasanta K. Panigrahi; Uday P. Sukhatme

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Inter-Relations of Solvable Potentials

Asim Gangopadhyaya·Prasanta K. Panigrahi·Uday P. Sukhatme

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Abstract

Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schrödinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations. We establish a connection between the two classes with appropriate limiting procedures and redefinition of parameters, thereby inter-relating all known solvable potentials.

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Asim Gangopadhyaya, Prasanta K. Panigrahi, Uday P. Sukhatme. 1993-10-26. Inter-Relations of Solvable Potentials. https://arxiv.org/abs/hep-th/9310172

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