The statistical properties of the \(q\)-deformed Dirac oscillator in one and two dimensions

DOI10.1155/2017/9371391zbMath1370.81056arXiv1611.06552OpenAlexW2556111688WikidataQ59142220 ScholiaQ59142220MaRDI QIDQ2405456

Hassan Hassanabadi, Abdelmalek Boumali

Publication date: 25 September 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06552

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (6)

Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator ⋮ Statistical properties of the two-dimensional Dirac oscillator with spin-orbit coupling ⋮ On the \(q\)-deformed Dirac oscillator in \((2+1)\)-dimensional space-time ⋮ (1+1)-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum ⋮ Exact Lorentz-violating q-deformed O(N) universality class ⋮ Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory

Cites Work

• Unnamed Item
• The Dirac oscillator in a rotating frame of reference
• The \(\mathrm q\)-deformed Dirac oscillator in \(2+1\) dimensions
• Classical and quantum \(q\)-deformed physical systems
• Exact analytical expression for magnetoresistance using quantum groups
• Jaynes-Cummings model and the deformed-oscillator algebra
• On the spectrum of a \(q\)-oscillator with a linear interaction
• q-ANALOGUE OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SU_q(2) AND SU_q(1, 1)
• q-deformed Morse oscillator
• A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure
• 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
• On the q oscillator and the quantum algebra su_q(1,1)
• Comment on the q-analogues of the harmonic oscillator
• Non-classical q-oscillator realization of the quantum SU(2) algebra
• A q-deformed harmonic oscillator in a finite-dimensional Hilbert space
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
• Electrical conductivity of magnetic multilayered structures
• Dirac oscillator with nonzero minimal uncertainty in position
• The q-deformed Moszkowski model: RPA modes
• Thermostatistic properties of aq-deformed ideal Fermi gas with a general energy spectrum

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