Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lorentz-violating effects in the spin-1/2 Aharonov-Casher problem   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.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio