Shape-invariant hypergeometric type operators with application to quantum mechanics

• Authors: Nicolae Cotfas
• Languages of publication: EN

Abstracts

EN

A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. The associated special functions are eigenfunctions of some shape-invariant operators. These operators can be analysed together and the mathematical formalism we use can be extended in order to define other shape-invariant operators. All the shape-invariant operators considered are directly related to Schrödinger-type equations.

Keywords

EN

Orthogonal polynomials; associated special functions; shape-invariant operators; raising and lowering operators; Schrödinger equation; 02.30.Gp; 03.65.-w

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2006
• Volume: 4
• Issue: 3
• Pages: 318-330

Dates

published

1 - 9 - 2006

online

1 - 9 - 2006

Contributors

author

Nicolae Cotfas

• Faculty of Physics, University of Bucharest, PO Box 76-54, Bucharest, Romania

References

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• [7] J.W. Dabrowska, A. Khare and U. Sukhatme: “Explicit wavefunctions for shape-invariant potentials by operator techniques”, J. Phys. A: Math. Gen., Vol. 21, (1988), pp. L195–L200. http://dx.doi.org/10.1088/0305-4470/21/4/002[Crossref]

Identifiers

DOI

10.2478/s11534-006-0023-0