Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials

DOI10.1007/978-3-319-69164-0_19zbMath1390.81234arXiv1702.02003OpenAlexW2784181318MaRDI QIDQ4643438

Mariano A. del Olmo, Enrico Celeghini

Publication date: 24 May 2018

Published in: Physical and Mathematical Aspects of Symmetries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02003

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15) Applications of group representations to physics and other areas of science (20C35)

Related Items (3)

Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials ⋮ Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation ⋮ Groups, special functions and rigged Hilbert spaces

Uses Software

• DLMF

Cites Work

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• Group theory approach to scattering
• Algebraic special functions and \(\mathrm{SO}(3,2)\)
• Coherent orthogonal polynomials
• Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials
• Inconsistencies in the description of a quantum system with a finite number of bound states by a compact dynamical group

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