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Hypergeometric type operators and their supersymmetric partners.
- Source :
-
Journal of Mathematical Physics . May2011, Vol. 52 Issue 5, p052101. 10p. - Publication Year :
- 2011
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 52
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 75211807
- Full Text :
- https://doi.org/10.1063/1.3582829