DISCRETE COORDINATE REALIZATIONS OF THE q-OSCILLATOR WHEN q>1

DOI10.1142/S0217732306021578zbMath1115.81037OpenAlexW2011175225MaRDI QIDQ3430090

Natig M. Atakishiyev, A. U. Klimyk

Publication date: 20 March 2007

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

Full work available at URL: https://doi.org/10.1142/s0217732306021578

zbMATH Keywords

self-adjoint extensionsposition and momentum operators\(q\)-oscillatorcoordinate realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• Unnamed Item
• Difference analogs of the harmonic oscillator
• On spectral properties of \(q\)-oscillator operators
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• A simple difference realization of the Heisenberg q-algebra
• On position and momentum operators in theq-oscillator
• Hilbert spaces of analytic functions and generalized coherent states
• On position and momentum operators in the q-oscillator algebra

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