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arxiv: math-ph/0602044 · v3 · submitted 2006-02-17 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords massposition-dependentpotentialscanonicald-dimensionalgeneralizationharmonicoscillator
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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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