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

2004/10/14 by Ramazan Koc, Mehmet Koca, Eser Korcuk
Physics and Astronomy · #quant-ph

paper · pdf

published as J. Phys. A: Math. Gen. 35, (2002) L1-L4

arxiv created 2004/10/14 · arxiv updated 2009/12/01

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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