Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems

DOI10.1088/1751-8113/43/11/115303zbMath1186.81052arXiv1002.0955OpenAlexW2143572487MaRDI QIDQ3550165

Maurice R. Kibler, Mohammed Daoud

Publication date: 31 March 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0955

zbMATH Keywords

polynomialsKac-Moodyoperator algebra methods\(W\)-algebras and other current algebras and their representationsfinite-dimensional groups and algebras motivated by physics and their representationsincluding Virasoroinfinite-dimensional groups and algebras motivated by physics

Mathematics Subject Classification ID

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) Polynomials in number theory (11C08) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

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