Hypergeometric type operators and their supersymmetric partners

Journal Article · Sun May 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3582829· OSTI ID:21501322

Cotfas, Nicolae ^[1]; Cotfas, Liviu Adrian ^[2]

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1. Faculty of Physics, University of Bucharest, PO Box 76 - 54, Post Office 76, 062590 Bucharest (Romania)
2. Faculty of Economic Cybernetics, Statistics and Informatics, Academy of Economic Studies, 6 Piata Romana, 010374 Bucharest (Romania)

The generalization of the factorization method performed by Mielnik [J. Math. Phys. 25, 3387 (1984)] opened new ways to generate exactly solvable potentials in quantum mechanics. We present an application of Mielnik's method to hypergeometric type operators. It is based on some solvable Riccati equations and leads to a unitary description of the quantum systems exactly solvable in terms of orthogonal polynomials or associated special functions.

• OSTI ID: 21501322
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 5; Other Information: DOI: 10.1063/1.3582829; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EXACT SOLUTIONS
FACTORIZATION
GEOMETRY
NONLINEAR PROBLEMS
POLYNOMIALS
POTENTIALS
QUANTUM MECHANICS
RICCATI EQUATION
SUPERSYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICS
SYMMETRY