Relativistic Anandan quantum phase in the Lorentz violation background

Abstract

Key words Geometric phase, Anandan quantum phase, Aharonov-Casher effect, permanent magnetic dipole moment, permanent electric dipole moment, Lorentz symmetry violation.We study the influence of a classical background based on the violation of the Lorentz symmetry on the relativistic Anandan quantum phase. We show that the choice of the Lorentz symmetry violation background provides an abelian contribution for the relativistic Anandan quantum phase.

Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

“…As a result of that, the solutions can be achieved by imposing that the power series expansion (88) or the biconfluent Heun series becomes a polynomial of degreen . This guaranteeing that R(ρ) behaves F as ρ at the origin and vanishes at ρ → ∞ [28][29][30][31][32][33]. Thus, in order that the power series expansion becomes a polynomial of degree n, we impose that ζ + a + 1 = −n.…”

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario

“…In the direction of fermionic models in the presence of LSV, there has been an effort to associate magnetic properties of spinless and/or neutral particles if a non-minimal coupling of the Lorentz-symmetry violating background to fermionic matter and gauge bosons is taken into account [24][25][26][27][28][29][30][31][32][33][34][35]. Still in the realm of atomic physics and optics, we should quote a set of works that set out to examine effects of LSV in electromagnetic cavities and optical systems [36][37][38][39][40][41][42], which have finally contributed to the setup of a new bound on the parameters associated to LSV.…”

The SME gauge sector with minimum length

“…These tensor coefficients (or coupling constants) have their origins in a more fundamental theory, where the LSV occurs, the coupling constants being used to build up the SME action; they appear as vacuum expectation values of the fundamental tensor fields. There are plenty of terms that can be constructed in this way, including non-renormalizable terms of arbitrarily high dimensions [23,[58][59][60].…”