He–McKellar–Wilkens-type effect, quantum holonomies and Aharonov–Bohm-type effect for bound states from the Lorentz symmetry breaking effects

DOI10.1142/S0129055X16500239zbMath1353.81062arXiv1502.07515OpenAlexW3102814832MaRDI QIDQ5298364

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Publication date: 14 December 2016

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07515

zbMATH Keywords

geometric phasequantum holonomyHe-McKellar-Wilkens effectLorentz symmetry violationAharonov-Bohm effect for bound states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Quantum field theory; related classical field theories (81T99) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) General quantum mechanics and problems of quantization (81S99) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

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• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Spin-1/2 particle on a cylinder with radial magnetic field
• QUANTUM HOLONOMIES FOR QUANTUM COMPUTING
• GEOMETRIC PHASES AND TOPOLOGICAL QUANTUM COMPUTATION