2012/12/10 by Fabiano M. Andrade, F. M. Andrade, Edilberto O. Silva +1 · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quantum optics and atomic interactions #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/j.physletb.2013.01.062
published as Physics Letters B 719 (2013) pp. 467-471 · 12 pages, no figures, submitted for publication
arxiv created 2012/12/10 · openalex publication_date 2013/02/01 · arxiv updated 2013/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
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, 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.