Weyl-ordered polynomials in fractional-dimensional quantum mechanics

DOI10.1088/0305-4470/38/2/012zbMath1088.81065OpenAlexW2038590628MaRDI QIDQ4653614

M. A. Lohe, A. Thilagam

Publication date: 7 March 2005

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

Full work available at URL: https://doi.org/10.1088/0305-4470/38/2/012

zbMATH Keywords

hypergeometric functionsWeyl-ordered polynomialsdeformed Heisenberg relationsfractional-dimensional quantum mechanics

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (5)

Recent developments in combinatorial aspects of normal ordering ⋮ Anisotropic fractal media by vector calculus in non-integer dimensional space ⋮ Bipartite entanglement of generalized Barut-Girardello nonlinear coherent states ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ Vector calculus in non-integer dimensional space and its applications to fractal media

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