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

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 $\delta$ 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.

9 pages, 2 figures, published version

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• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
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• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"
• Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"