A q-OSCILLATOR WITH "ACCIDENTAL" DEGENERACY OF ENERGY LEVELS

DOI10.1142/S0217732307022827zbMath1116.81034arXivquant-ph/0612122OpenAlexW2044660411MaRDI QIDQ3444916

Alexandre M. Gavrilik, Anastasiya P. Rebesh

Publication date: 5 June 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0612122

zbMATH Keywords

\(q\)-deformed oscillator\(q\)-deformed algebradegeneracy of energy levels

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

Related Items (11)

Thermal and electrical properties of a solid through Fibonacci oscillators ⋮ Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra ⋮ Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states ⋮ On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential ⋮ PLETHORA OF q-OSCILLATORS POSSESSING PAIRWISE ENERGY LEVEL DEGENERACY ⋮ Hermite polynomials and Fibonacci oscillators ⋮ Low-temperature thermostatistics of Tamm-Dancoff deformed boson oscillators ⋮ THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA ⋮ Modified \(q\)-deformed Tamm-Dancoff oscillators as a model for vibrations of polyatomic molecule ⋮ Fibonacci oscillators in the Landau diamagnetism problem ⋮ q-Deformed Tamm–Dancoff oscillators: Coherent state and thermostatistics

Cites Work

• TAMM-DANCOFF DEFORMATION OF BOSONIC OSCILLATOR ALGEBRAS
• 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 (p, q)-oscillator realization of two-parameter quantum algebras
• On quantization of simple harmonic oscillators
• Planck distribution for a q-boson gas
• Energy spectrum, potential and inertia functions of a generalizedf-oscillator
• Multi-particle correlations inqp-Bose gas model
• Hilbert spaces of analytic functions and generalized coherent states

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