Realization of the dynamical group for the generalized Laguerre functions

DOI10.1016/S0898-1221(04)90084-3zbMath1057.81037MaRDI QIDQ1767821

Shi-Hai Dong

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Ladder operatorsFactorization methodGeneralized Laguerre functionsMatrix elementSU(1,1) algebra

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

Realization of the spectrum generating algebra for the generalized Kratzer potentials

Cites Work

• Unnamed Item
• Lie theory and special functions
• Raising and lowering operators, factorization and differential/difference operators of hypergeometric type
• The hidden symmetry for a quantum system with an infinitely deep square-well potential
• COHERENT STATES FOR GENERALIZED LAGUERRE FUNCTIONS
• The Factorization Method

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