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Analytically Solvable Quantum Hamiltonians and Relations to Orthogonal Polynomials

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Publication:3079576
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DOI10.1063/1.3460184zbMath1210.81028OpenAlexW1982032023MaRDI QIDQ3079576

Gilles Regniers, Joris Van der Jeugt

Publication date: 2 March 2011

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3460184


zbMATH Keywords

orthogonal polynomialsspin chainscoupled harmonic oscillatorsWigner quantization


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Special quantum systems, such as solvable systems (81Q80)








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