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Zbl 1114.81031
Mustafa, Omar; Mazharimousavi, S.Habib
$d$-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass. (English)
[J] J. Phys. A, Math. Gen. 39, No. 33, 10537-10547 (2006). ISSN 0305-4470

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

MSC 2000:: *81Q05 Closed and approximate solutions to quantum-mechanical equations
34L40 Particular ordinary differential operators
81U15 Exactly and quasi-solvable systems

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