A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE

DOI10.1142/S0217732308026832zbMath1146.81022OpenAlexW2054450645MaRDI QIDQ3525515

Ivan Kachuryk, A. U. Klimyk

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1142/s0217732308026832

zbMATH Keywords

coherent statesquantum oscillatorcoordinate realizationspositions and momentum operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30)

Cites Work

• \(q\)-orthogonal polynomials and the oscillator quantum group
• Coherent states of the \(q\)-Weyl algebra
• Finiteq-oscillator
• 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
• On position and momentum operators in theq-oscillator
• Multi-particle correlations inqp-Bose gas model

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