The q-Hermite polynomial and the representations of Heisenberg and quantum Heisenberg algebras

DOI10.1088/0305-4470/25/6/012zbMath0767.33014OpenAlexW1978141035MaRDI QIDQ4008102

Hong Yan, Zhe Chang, Han Ying Guo

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/6/012

zbMATH Keywords

Heisenberg algebradeformed operatorsquantum Heisenberg algebrasBiedenharn \(q\)-exponential function

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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New deformed boson algebra ⋮ Transparency and Enhancement in Fast and Slow Light in q‐Deformed Optomechanical System ⋮ Transformation theory of the q-oscillator ⋮ q deformations of the oscillator

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