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- W2074919911 abstract "In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $kappa$-Poincar'{e}-Hopf algebra. We consider the nonrelativistic limit of the $kappa$-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter $varepsilon$. 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. 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." @default.
- W2074919911 created "2016-06-24" @default.
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- W2074919911 date "2013-02-01" @default.
- W2074919911 modified "2023-10-14" @default.
- W2074919911 title "Effects of quantum deformation on the spin-1/2 Aharonov–Bohm problem" @default.
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- W2074919911 doi "https://doi.org/10.1016/j.physletb.2013.01.062" @default.
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