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arxiv: quant-ph/0410108 · v1 · submitted 2004-10-14 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords potentialsclassequationgeneralmassschroedingersolvableconfluent
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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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