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

Lima, A. G. de; Belich, H.; Bakke, K.

doi:10.1142/s0129055x16500239

Cited by 4 publications

(3 citation statements)

References 148 publications

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“…In [32], a geometric quantum phase for a neutral particle with magnetic quadrupole moment is proposed based on the assumption that the magnetic quadrupole moment is made by magnetic charges. Quantum holonomies have also been studied in [33,34] based on the He–McKellar–Wilkens geometric quantum phase [27,28].…”

Section: Introductionmentioning

confidence: 99%

Missing He–McKellar–Wilkens geometric quantum phase

Bakke

2022

Proc. R. Soc. A.

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We discuss the appearance of a missing geometric quantum phase from the interaction of the permanent electric dipole moment of a neutral particle with the magnetic field produced by a uniform distribution of the magnetic charges inside an infinitely long non-conductor cylinder with an inner radius r a . This geometric quantum phase is associated with the missing magnetic charge per unit length in a region with a cylindrical shape of radius r a and gives rise to an analogue of the He–McKellar–Wilkens geometric quantum phase. By searching for bound state solutions, we show that an Aharonov–Bohm-type effect arises from the influence of the missing geometric quantum phase on the eigenvalues of energy.

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Section: Introductionmentioning

confidence: 99%

Missing He–McKellar–Wilkens geometric quantum phase

Bakke

2022

Proc. R. Soc. A.

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“…Betschart et al [79] starting from a nonbirefringent modified Maxwell theory, derived three effective metrics in a Schwarzschild background which shall be used in this work. A similar study has been done in the context of cosmic string space-time for the scalar spin zero particles subject to a scalar potential [80][81][82][83][84][85][86][87]. Furthermore it is used two possible models of the anisotropy that is generated under the Lorentz symmetry breaking effect.…”

Section: Introductionmentioning

confidence: 99%

Stability of effective thin-shell wormholes under Lorentz symmetry breaking supported by dark matter and dark energy

Овгун

Jusufi

2017

Eur. Phys. J. Plus

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In this paper, we construct generic, spherically symmetric thin-shell wormholes and check their stabilities using the unified dark sector, including dark energy and dark matter. We give a master equation, from which one can recover, as a special case, other stability solutions for generic spherically symmetric thin-shell wormholes. In this context, we consider a particular solution; namely we construct an effective thin-shell wormhole under Lorentz symmetry breaking. We explore stability analyses using different models of the modified Chaplygin gas with constraints from cosmological observations such as seventh-year full Wilkinson microwave anisotropy probe data points, type Ia supernovae, and baryon acoustic oscillation. In all these models we find stable solutions by choosing suitable values for the parameters of the Lorentz symmetry breaking effect.

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“…Recently, behaviour of a relativistic spin-0 particles that are subject to a scalar potential under the effects of the Lorentz symmetry breaking [6][7][8][9][10] in the cosmic string spacetime has been studied by Bakke et al [11,12]. To tackle with the problem, they have considered two possible scenarios of the anisotropy generated by a Lorentz symmetry breaking effect (LSBE).…”

Section: Introductionmentioning

confidence: 99%

Effect of Lorentz symmetry breaking on the deflection of light in a cosmic string spacetime

2017

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We investigate the Lorentz symmetry breaking effects (LSBE) on the deflection of light by a rotating cosmic string spacetime in the weak limit approximation. We first calculate the deflection angle by a static cosmic string for a fixed spacelike 4-vector case (FSL) with the corresponding effective-string optical metric using the Gauss-Bonnet theorem (GBT). Then, we focus on a more general scenario, namely we calculate the deflection angle by a rotating cosmic string applying the GBT to Randers effective-string metric. We obtain a significant modification in the deflection angle because of the LSBE parameter. We find a first and second order correction terms due to the global effective topology which are proportional to the cosmic string and LSBE parameter, respectively. Finally, for a fixed time-like 4-vector (FTL) case, we show that the deflection angle is not affetced by LSBE parameter.

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

Cited by 4 publications

References 148 publications

Missing He–McKellar–Wilkens geometric quantum phase

Missing He–McKellar–Wilkens geometric quantum phase

Stability of effective thin-shell wormholes under Lorentz symmetry breaking supported by dark matter and dark energy

Effect of Lorentz symmetry breaking on the deflection of light in a cosmic string spacetime

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