Dirac oscillator in noncommutative phase space and (anti)-Jaynes-Cummings models

DOI10.1007/s10773-012-1094-xzbMath1262.81083OpenAlexW2125454224MaRDI QIDQ1930001

Zhi-Yu Luo, Qing Wang, Xiao Li, Jian Jing

Publication date: 10 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10773-012-1094-x

zbMATH Keywords

Dirac oscillatornoncommutative phase space(anti)-Jaynes-Cummings models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)

Related Items

Supersymmetric path integral for the Dirac oscillator in a uniform electric field ⋮ Algebraic approach to exact solution of the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space ⋮ Extended Dirac oscillator in (2 + 1)-dimensional space-time ⋮ Statistical properties of the two-dimensional Dirac oscillator with spin-orbit coupling ⋮ On the κ-deformed Dirac oscillator in (2 + 1)-dimensions ⋮ The 2D \(\kappa\)-Dirac oscillator ⋮ The \(\mathrm q\)-deformed Dirac oscillator in \(2+1\) dimensions ⋮ On the \(\kappa\)-Dirac oscillator revisited ⋮ On the \(q\)-deformed Dirac oscillator in \((2+1)\)-dimensional space-time ⋮ Dirac oscillator in a uniform electric field: Path integral treatment ⋮ Dirac oscillator in a space with spin noncommutativity of coordinates ⋮ Thermodynamics of quantum phase transitions of a Dirac oscillator in a homogenous magnetic field

Cites Work

• Non-commutative open string and D-brane
• Constrained quantization of open string in background \(B\) field and noncommutative D-brane
• Quantum mechanics on noncommutative Riemann surfaces
• Dirac oscillator in an external magnetic field
• THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
• Dynamics of a Dirac oscillator coupled to an external field: a new class of solvable problems
• On a double Riemann–Hilbert approach to stimulated Raman scattering
• NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
• Symmetry Lie algebra of the Dirac oscillator
• Noncommutative field theory
• Dirac quantization of open strings and noncommutativity in branes.
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on the noncommutative torus
• Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects
• Two phases of the noncommutative quantum mechanics
• Aharonov-Bohm effect in noncommutative spaces
• Spectrum of Schrödinger field in a noncommutative magnetic monopole