Abstract
In this paper, we study the effects of rotation in the spin-1/2 non-relativistic Aharonov-Bohm problem for bound states. We use a technique based on the self-adjoint extension method and determine an expression for the energies of the bound states. The inclusion of the spin element in the Hamiltonian guarantees the existence of bound state solutions. We perform a numerical analysis of the energies and verify that both rotation and the spin degree of freedom affect the energies of the particle. The main effect we observe in this analysis is a cutoff value manifested in the Aharonov-Bohm flux parameter that delimits the values for the positive and negative energies.
Highlights
The Aharonov-Bohm effect [1] is one of the most remarkable phenomena in the branch of quantum theory
We have investigated the role of the spin degree of freedom in the context of the Aharonov-Bohm effect for bound states
We have examined how the Aharonov-Bohm effect, combined with the presence of a non-inertial frame, modifies the particle motion when the spin degree of freedom is taking into account
Summary
The Aharonov-Bohm effect [1] is one of the most remarkable phenomena in the branch of quantum theory. When a given system is spinning, its physical properties can change in comparison with the static case [29,30] In this context, several analogies between electromagnetic interactions and non-inertial effects take place. From the motivation of including the spin degree of freedom in the description of the AB effect and having in mind the similarities between electromagnetic fields and rotation, in this manuscript, we study the AB effect for the bound states for a rotating system.
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