Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
arXiv:0801.4663 · doi:10.1016/j.physleta.2004.03.033
Abstract
We determine the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator in the presence of Aharonov-Bohm (AB) effect . It is shown that the energy spectrum depends on the spin of particle and the AB magnetic flux parameter. Finally, when the irregular solution occurs it is shown that the energy takes particular values. The nonrelativistic limit is also considered.
Latex, 12 pages
Cited by in corpus (13)
- Noninertial effects on the Dirac oscillator in a topological defect spacetime
- The Dirac oscillator in a spinning cosmic string spacetime
- The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
- Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
- Quantum dynamics of scalar bosons in a cosmic string background
- On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
- Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
- Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
- Exact Solutions of D-dimensional Klein-Gordon Oscillator with Snyder-de Sitter Algebra
- Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field
- Dirac-isotonic oscillators in (1 + 1) and (2 + 1) dimensions
- Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential
- Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"