2014/12/08 by Edilberto O. Silva, Silva, Edilberto O., Fabiano M. Andrade +1
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.48550/arxiv.1412.2555
9 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1303.1660
openalex publication_date 2014/12/08 · arxiv created 2015/08/16 · arxiv updated 2015/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The effects of a Lorentz symmetry violating background vector on the Aharonov-Casher bound and scattering scenarios is considered. 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. We found that there is an additional scattering for any value of the self-adjoint extension parameter and bound states for negative values of this parameter. By comparing the bound state and scattering results the self-adjoint extension parameter is determined. Expressions for the bound state energies, phase-shift and the scattering matrix are explicitly determined in terms of the self-adjoint extension parameter. The expression obtained for the scattering amplitude reveals that the helicity is not conserved in this scenario.