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

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

2006-02-17

arxiv.org/abs/math-ph/0602044v3

J. Phys. A: Math. Gen. 39 (2006) 10537

Physics

Mathematical Physics

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

Scientific paper

10.1088/0305-4470/39/33/020

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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