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A new class of quasi-exactly solvable potentials with position dependent mass

Ramazan Koc·Mehmet Koca·Eser Korcuk
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Abstract

A new class of quasi exactly solvable potentials with a variable mass in the Schroedinger equation is presented. We have derived a general expression for the potentials also including Natanzon confluent potentials. The general solution of the Schroedinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

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Ramazan Koc, Mehmet Koca, Eser Korcuk. 2004-10-14. A new class of quasi-exactly solvable potentials with position dependent mass. https://arxiv.org/abs/quant-ph/0410108

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