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

被引:50
作者
Andrade, F. M. [1 ]
Silva, E. O. [2 ]
机构
[1] Univ Estadual Ponta Grossa, Dept Matemat & Estat, BR-84030900 Ponta Grossa, PR, Brazil
[2] Univ Fed Maranhao, Dept Fis, BR-65085580 Sao Luis, MA, Brazil
关键词
kappa-Poincare-Hopf algebra; Self-adjoint extension; Aharonov Bohm; Scattering; Helicity; DEFORMED DIRAC-EQUATION; SELF-ADJOINT EXTENSIONS; CHARGED-PARTICLE; BOUNDARY-CONDITIONS; MAGNETIC-MOMENT; POINCARE; SCATTERING; FIELD; ELECTROWEAK; MECHANICS;
D O I
10.1016/j.physletb.2013.01.062
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this Letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the kappa-Poincare-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 epsilon. 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. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:467 / 471
页数:5
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