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A possible scenario of the Lorentz symmetry violation is discussed based on the arising of geometric quantum phases yielded by the effects of the Lorentz symmetry violation in the CPT‐even gauge sector of Standard Model Extension. Analogues of the Anandan quantum phase and the scalar Aharonov‐Bohm effect for a neutral particle [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained from the parity‐odd...
We study the rise of geometric quantum phases corresponding to the analogues of the Anandan quantum phase (J. Anandan, Phys. Lett. A 138, 347 (1989)) based on possible scenarios of the Lorentz symmetry violation background in the CPT-even gauge sector of the Standard Model Extension. We also show that we can obtain quantum holonomies associated with the analogues of the Anandan quantum phase, and...
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