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    Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem

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    In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the κ\kappa-Poincar\'{e}-Hopf algebra. We consider the nonrelativistic limit of the κ\kappa-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter ε\varepsilon. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the SS-matrix, the bound states energies are obtained by analyzing the pole structure of the latter. Using a recently developed general regularization prescription [Phys. Rev. D. \textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation.Comment: 12 pages, no figures, submitted for publicatio

    Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background

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    The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is obtained in terms of the physics of the problem by determining the self-adjoint extension parameter.Comment: Matches published versio
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