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.

Locations

• arXiv (Cornell University) - View - PDF
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• The European Physical Journal C - View - PDF