2013/03/31 by F. M. Andrade, E. O. Silva, T. Prudêncio +1 · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0954-3899/40/7/075007
published as J. Phys. G: Nucl. Part. Phys. 40 075007 (2013) · 14 pages, published version. arXiv admin note: text overlap with arXiv:1212.1944
arxiv created 2013/06/06 · arxiv updated 2013/06/07
The effects of a Lorentz symmetry violating background vector on the Aharonov-Casher scattering in the nonrelativistic limit is considered. By using the self-adjoint extension method we found that there is an additional scattering for any value of the self-adjoint extension parameter and non-zero energy bound states for negative values of this parameter. Expressions for the energy bound states, 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.