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

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Abstract

In this Letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the κ-Poincaré-Hopf algebra. We consider the nonrelativistic limit of the κ-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter ε. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the S-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. 85 (2012) 041701(R)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation. © 2013 Elsevier B.V.

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Andrade, F. M., & Silva, E. O. (2013). Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 719(4–5), 467–471. https://doi.org/10.1016/j.physletb.2013.01.062

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