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

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.

14 pages, no figures, to appear in J. Phys. A: Math. Gen

References in corpus (2)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Ordering ambiguity versus representation

Cited by in corpus (13)

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