Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background

2014/03/31 by Fabiano M. Andrade, Edilberto O. Silva · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Cosmic string #Dirac (video compression format) #Dynamics (music) #Magnetic field #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #String (physics) #Zeeman effect #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1140/epjc/s10052-014-3187-6

published as The European Physical Journal C 74, 3187 (2014) · 9 pages, 2 figures, published version

openalex publication_date 2014/12/01 · arxiv created 2014/12/10 · arxiv updated 2014/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this work the dynamics of a 2D Dirac oscillator in the spacetime of a magnetic cosmic string is considered. It is shown that earlier approaches to this problem have neglected a δ function contribution to the full Hamiltonian, which comes from the Zeeman interaction. The inclusion of spin effects leads to results which confirm a modified dynamics. Based on the self-adjoint extension method, we determined the most relevant physical quantities, such as energy spectrum, wave functions and the self-adjoint extension parameter by applying boundary conditions allowed by the system.

Citations

• Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem
• Chirality quantum phase transition in the Dirac oscillator
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov–Bohm effect
• Exact mapping of the2+1Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal
• Aharonov-Bohm-Casher problem with a nonminimal Lorentz-violating coupling
• Effects of quantum deformation on the spin-1/2 Aharonov–Bohm problem
• Supergravity

Cited by

• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
• The study of the generalized Klein–Gordon oscillator in the context of the Som–Raychaudhuri space–time
• The DKP oscillator with a linear interaction in the cosmic string space-time

Related

• Noninertial and spin effects on the 2D Dirac oscillator in the magnetic cosmic string background
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Dirac Oscillator for Spin-1/2 Particles in a Spinning Cosmic String Spacetime with Spacelike Disclination and Dislocation
• Exact solutions of the Dirac oscillator under the influence of the Aharonov-Casher effect in the cosmic string background
• The DKP oscillator in spinning cosmic string background