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A new class of exactly-solvable potentials by means of the hypergeometric equation

Published 24 Oct 2022 in quant-ph | (2210.13991v1)

Abstract: We obtained a new class of exactly-solvable potentials by means of the hypergeometric equation for Schrodinger equation, which different from the exactly-solvable potentials introduced by Bose and Natanzon. Using the new class of solvable potentials, we can obtain the corresponding complex PT-invariant potentials. This method can also apply to the other Fuchs equations.

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