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 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.

Relativistic quantum dynamics of a neutral particle in external electric fields: An approach on effects of spin

“…(38) of Ref. [54], in which the procedure for obtaining the energy levels for different values of the self-adjoint extension parameter is given in detail. In this procedure, we use the boundary condition (48) together with the normalizability condition to obtain a relation that allows us to eliminate a m and b m of Eq.…”

Klein–Gordon oscillator in Kaluza–Klein theory

“…The Dirac oscillator was investigated for a spin-1/2 particle in the presence of topological defects in Refs. [10][11][12][13][14][15][16][17][18]. However, these studies were carried out for the quantum dynamics of spin-1/2 particles, leaving a gap in the treatment of harmonic interaction for relativistic scalar particles.…”

Scattering and bound states for the Hulthén potential in a cosmic string background

“…The cosmic string is a linear defect that changes the topology of the medium. This field has been an appealing research field in the past years as not much is known in comparison with the ordinary Dirac equation in flat space [36][37][38][39][40][41]. From the field theory point of view, the cosmic string can be viewed as a consequence of symmetry breaking phase transition in the early Universe [42].…”