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d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

Omar Mustafa·S. Habib Mazharimousavi
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Abstract

The d-dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in Schrodinger equation is described. Illustrative examples including; the harmonic oscillator, Coulomb, spiked harmonic, Kratzer, Morse oscillator, Poschl-Teller and Hulthen potentials are used as reference potentials to obtain exact energy eigenvalues and eigenfunctions for target potentials at different position-dependent mass settings.

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Omar Mustafa, S. Habib Mazharimousavi. 2006-06-29. d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass. https://doi.org/10.1088/0305-4470%2F39%2F33%2F020

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