Exact solution of the two-dimensional Dirac oscillator

Abstract

In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle.

revtex, 6pp. IVIC-CFLE 93/05

Cited by in corpus (40)

• Pseudospin symmetry and the relativistic harmonic oscillator
• Dirac oscillator with nonzero minimal uncertainty in position
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Energy spectrum of the relativistic Dirac-Morse problem
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• Dirac oscillator in an external magnetic field
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
• Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
• Two-Dimensional Quantum ring in a Graphene Layer in the presence of a Aharonov-Bohm flux
• Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction
• Exact Solution of the Relativistic Dunkl Oscillator in $(2+1)$ Dimensions
• Noncommutative Dirac oscillator in an external magnetic field
• 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
• On the Dirac Oscillator
• Klein-Gordon oscillator in a topologically nontrivial space-time
• Remarks on the Dirac oscillator in $(2+1)$ dimensions
• The 2D $\kappa$-Dirac oscillator
• Relaxation to quantum equilibrium for Dirac fermions in the de Broglie-Bohm pilot-wave theory
• Pseudo Hermitian Generalized Dirac Oscillators
• Spectrum of the Relativistic Particles in Various Potentials
• Two-mode generalization of the Jaynes-Cummings and Anti-Jaynes-Cummings models
• Amelino-Camelia DSR effects on charged Dirac oscillators: Modulated spinning magnetic vortices
• Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
• Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field
• L2 series solutions of the Dirac equation for power-law potentials at rest mass energy
• There is no vacuum zero-point energy in our universe for massive particles within the scope of relativistic quantum mechanics
• $1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum
• Factorization of Dirac Equation in Two Space Dimensions
• Dirac-isotonic oscillators in (1 + 1) and (2 + 1) dimensions
• Emergent tilt order in Dirac polymer liquids
• Canonical quantization of the Dirac oscillator field in (1+1) and (3+1) dimensions
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Comment on `Energy spectrum of a Dirac particle with position-dependent mass under the influence of the Aharonov-Casher effect'
• The Dirac oscillator in the curved spacetime of a cloud of strings
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime
• Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"