Symmetry Lie algebra of the Dirac oscillator
From MaRDI portal
Publication:5201673
DOI10.1088/0305-4470/23/12/011zbMath0725.35083OpenAlexW2022749205WikidataQ115293664 ScholiaQ115293664MaRDI QIDQ5201673
Marcos Moshinsky, Christiane Quesne
Publication date: 1990
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/23/12/011
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with quantum mechanics (35Q40)
Related Items (32)
The 2D Kramers-Dirac oscillator ⋮ Dynamical symmetry in a minimal dimeric complex ⋮ Interaction of the Dirac oscillator with the Aharonov-Bohm potential in (1+2)-dimensional Gürses space-time backgrounds ⋮ Rotating effects on the Dirac oscillator in the cosmic string spacetime ⋮ Non-inertial effects on a generalized DKP oscillator in a cosmic string space-time ⋮ A novel exact solution of the 2+1-dimensional radial Dirac equation for the generalized Dirac oscillator with the inverse potentials ⋮ Dirac oscillator in noncommutative phase space and (anti)-Jaynes-Cummings models ⋮ An alternative map from a 2 + 1 dimensional charged Dirac oscillator in the background of a uniform perpendicular magnetic field to a quantum optics model ⋮ Convolution with the linear canonical Hankel transformation ⋮ Noncommutative \(2+1\) dimensional Dirac oscillator and quantum phase transition ⋮ Two-mode generalization of the Jaynes-Cummings and anti-Jaynes-Cummings models ⋮ Statistical properties of the one-dimensional Dirac oscillator in Rindler space-time ⋮ Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell ⋮ The Dirac oscillator from theory to experiment ⋮ On the Dirac oscillator ⋮ On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds ⋮ Statistical properties of the two-dimensional Dirac oscillator with spin-orbit coupling ⋮ Algebraic approach for the one-dimensional Dirac–Dunkl oscillator ⋮ On the chirality quantum phase transition of the Dirac oscillator ⋮ A new class of pseudo-differential operators involving linear canonical transform ⋮ Yangian realization for Dirac oscillator ⋮ Exact solution of the relativistic Dunkl oscillator in \((2+1)\) dimensions ⋮ Yangian realization for Dirac oscillator ⋮ Development of Linear Canonical Transforms: A Historical Sketch ⋮ On the \(q\)-deformed Dirac oscillator in \((2+1)\)-dimensional space-time ⋮ THE EIGENSPECTRUM AND HIDDEN SUPERSYMMETRY OF THE DIRAC OSCILLATOR IN 2+1 DIMENSIONS ⋮ \(2\)~\(+\)~\(1\) dimensional noncommutative Dirac oscillator and (anti)-Jaynes-Cummings models ⋮ Klein-Gordon oscillator in a topologically nontrivial space-time ⋮ Hidden symmetry and (super)conformal mechanics in a monopole background ⋮ Dirac oscillator and nonrelativistic Snyder-de Sitter algebra ⋮ Coherent States for the Two-Dimensional Dirac–Moshinsky Oscillator Coupled to an External Magnetic Field ⋮ Canonical Hankel wavelet transformation and Calderón’s reproducing formula
This page was built for publication: Symmetry Lie algebra of the Dirac oscillator
