Geometric phases modified by a Lorentz-symmetry violation background

DOI10.1142/S0217751X15500724zbMath1319.81082OpenAlexW2032235213MaRDI QIDQ2943453

L. R. Ribeiro, J. R. S. Nascimento, Claudio Furtado, Eduardo Passos

Publication date: 3 September 2015

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x15500724

zbMATH Keywords

geometric phasetopological phaseLorentz symmetryAharonov-BohmAharonov-Casher

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (12)

Aharonov-Bohm effect for bound states on the confinement of a relativistic scalar particle to a Coulomb-type potential in Kaluza-Klein theory ⋮ Aharonov–Casher effect and persistent spin currents in a Coulomb-type potential induced by Lorentz symmetry breaking effects ⋮ Critical properties of scalar field theory with Lorentz violation: exact treatment of Lorentz-violating mechanism ⋮ Relativistic quantum scattering yielded by Lorentz symmetry breaking effects ⋮ Semiclassical approach of Lorentz symmetry breaking effects at a low energy scenario ⋮ The quantum description of BF model in superspace ⋮ On the effects of the Lorentz symmetry violation in a magnetic medium at a low energy scenario ⋮ Relativistic analogues of the Aharonov-Bohm effect and the Landau quantization with the Lorentz symmetry violation determined by azimuthal electric fields and a fixed vector field ⋮ An effective theory with Lorentz violation and minimum length ⋮ Exact Lorentz-violating q-deformed O(N) universality class ⋮ Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory ⋮ Relativistic scalar Aharonov–Bohm effect for a neutral particle under Lorentz symmetry breaking effects in the cosmic string space–time

Cites Work

• Holonomic quantum computation based on the scalar Aharonov-Bohm effect for neutral particles and linear topological defects
• Maxwell--Chern--Simons theory for curved spacetime backgrounds
• Non-commutative quantum mechanics and the Aharonov-Casher effect
• Non-Hermitian Lagrangian for quasirelativistic fermions
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES
• On the Aharonov-Casher system and the Landau-Aharonov-Casher system confined to a two-dimensional quantum ring
• Relativistic Anandan quantum phase in the Lorentz violation background
• Significance of Electromagnetic Potentials in the Quantum Theory
• Maxwell Duality, Lorentz Invariance, and Topological Phase
• Dual Aharonov–Bohm Effect
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

This page was built for publication: Geometric phases modified by a Lorentz-symmetry violation background