\(2\)~\(+\)~\(1\) dimensional noncommutative Dirac oscillator and (anti)-Jaynes-Cummings models
From MaRDI portal
Publication:763423
DOI10.1007/s10773-011-0798-7zbMath1252.81079OpenAlexW2054292208MaRDI QIDQ763423
You Cui, Zheng-Wen Long, Jian Jing, Yong-Qi Luo
Publication date: 9 March 2012
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-011-0798-7
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry in quantum theory (81R60)
Related Items (8)
Generalized Jaynes-Cummings model and shape invariant potentials: master function approach ⋮ 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 ⋮ Two-mode generalization of the Jaynes-Cummings and anti-Jaynes-Cummings models ⋮ Relativistic dynamics for a particle carrying a non-Abelian charge in a non-Abelian background electromagnetic field ⋮ The Dirac oscillator in a rotating frame of reference ⋮ The \(\mathrm q\)-deformed Dirac oscillator in \(2+1\) dimensions ⋮ Dirac oscillator in a uniform electric field: Path integral treatment
Cites Work
- A mapping-independent analysis for the spectra of the non-commutative two-dimensional harmonic oscillator
- 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
- 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
- Spectrum of Schrödinger field in a noncommutative magnetic monopole
This page was built for publication: \(2\)~\(+\)~\(1\) dimensional noncommutative Dirac oscillator and (anti)-Jaynes-Cummings models
