Al-Salam-Chihara models of quantum oscillator

DOI10.1016/J.PHYSLETA.2007.12.023zbMath1220.81078OpenAlexW2031321262MaRDI QIDQ637378

A. U. Klimyk, Natig M. Atakishiyev

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.12.023

zbMATH Keywords

spectrumevolution operatorposition and momentum operatorsmodels of quantum oscillatorstandard quantum harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General mathematical topics and methods in quantum theory (81Q99) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• The structure relation for Askey-Wilson polynomials
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• On suq(1,1)-models of quantum oscillator
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Convolutions of Orthonormal Polynomials
• On position and momentum operators in theq-oscillator
• Realizations of su(1,1) and Uq(su(1,1)) and generating functions for orthogonal polynomials
• Multi-particle correlations inqp-Bose gas model
• Representations of the quantum algebra U_q(su_1,1)

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