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

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IOP Science

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info:eu-repo/semantics/openAccess

Abstract

The d-dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in the Schr¨odinger equation is described. Illustrative examples including the harmonic oscillator, Coulomb, spiked harmonic, Kratzer, Morse oscillator, P oschl–Teller and Hulth´en potentials are used as reference potentials to obtain exact energy eigenvalues and eigenfunctions for target potentials at different positiondependent mass settings.

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Journal of Physics A: Mathematical and General

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39

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33

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O. Mustafa and S. Habib Mazharimousavi, J. Phys. A: Math. & Gen. 39, 10537 (2006): arXiv: math-ph/0602044 d-dimensional generalization of the Point Canonical Transformation for a quantum particle with position dependent mass .X

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