The Q-deformed oscillator algebra with an integer number eigenvalue and a half odd integer number eigenvalue

DOI10.1007/s10773-014-2044-6zbMath1298.81120OpenAlexW2053513195WikidataQ114226222 ScholiaQ114226222MaRDI QIDQ458094

Won-Sang Chung

Publication date: 30 September 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2044-6

zbMATH Keywords

number eigenstateQ-deformed oscillator algebra

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)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Thermostatistics of deformed bosons and fermions
• \(q\)-deformed structures and generalized thermodynamics
• q-Deformed Boson Oscillators and Zero Point Energy
• THERMODYNAMICS OF q-MODIFIED BOSONS
• 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
• Planck distribution for a q-boson gas
• Statistical mechanical properties of the q-oscillator system
• q to or from q^-1invariance of q-oscillators and new realizations of quantum algebras
• Energy spectrum of a q-analogue of the hydrogen atom
• Hilbert spaces of analytic functions and generalized coherent states
• Basic-deformed thermostatistics
• A Generalized Method of Field Quantization

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