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Effective Mass Schrodinger Equation for Exactly Solvable Class of One-Dimensional Potentials

Metin Aktas·Ramazan Sever
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Abstract

We deal with the exact solutions of Schrodinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Poschl-Teller and Hulthen type potentials are considered respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.

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Metin Aktas, Ramazan Sever. 2006-08-07. Effective Mass Schrodinger Equation for Exactly Solvable Class of One-Dimensional Potentials. https://arxiv.org/abs/quant-ph/0608054

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