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DARBOUX TRANSFORMATIONS FOR N-DIMENSIONAL EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH HYPERSPHERICAL SYMMETRY

AXEL SCHULZE-HALBERG

Department of Science, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045, Colima, Col., Mexico

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https://doi.org/10.1142/S0217751X07036762Cited by:3 (Source: Crossref)

Abstract

We construct Darboux transformations of arbitrary order for stationary Schrödinger equations with effective mass that exhibit spherical symmetry in N dimensions (hyperspherical symmetry). The Darboux transformation and the associated transformed Schrödinger equation are obtained in closed form.

Keywords:

PACS: 03.65.Ge, 03.65.Ca

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