Geometric phases modified by a Lorentz-symmetry violation background

2015 ◽  
Vol 30 (14) ◽  
pp. 1550072 ◽  
Author(s):  
L. R. Ribeiro ◽  
E. Passos ◽  
C. Furtado ◽  
J. R. Nascimento
Keyword(s):  
Electromagnetic Field ◽  
Geometric Phase ◽  
Quantum Dynamics ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Lorentz Symmetry ◽  
Nonrelativistic Quantum ◽  
Symmetry Violation ◽  
Electric Dipole Moments ◽  
Geometric Phases

We analyze the nonrelativistic quantum dynamics of a single neutral spin-half particle, with nonzero magnetic and electric dipole moments, moving in an external electromagnetic field in the presence of a Lorentz-symmetry violating background. We also study the geometric phase for this model taking in account the influence of the parameter that breaks the Lorentz-symmetry. These geometric phases are used to impose an upper bound on the background magnitude.

Photomagnetic disintegration and magnetic moment of the deuteron in the meson theory

1940 ◽  
Vol 36 (3) ◽  
pp. 351-362 ◽  
Author(s):  
S. T. Ma
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Magnetic Moment ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Nuclear System ◽  
Multipole Moments ◽  
Early Stages ◽  
Meson Theory

The interaction between an external electromagnetic field and a nuclear system can be expressed in terms of the multipole moments. The electric quadripole and the magnetic dipole moments of the deuteron have been calculated, taking into account the exchange forces as given by the meson theory. The cross-section of the photomagnetic effect of the deuteron has been calculated.This work was carried out under the guidance of Dr Heitler and Dr Fröhlich. The writer wishes to express his sincerest thanks to them for suggesting the problem and many valuable comments. The writer is also indebted to Dr Kahn for discussions during the early stages of this work.

scholarly journals Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 160
Author(s):  
Banibrata Mukhopadhyay ◽  
Soumya Kanti Ganguly
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Geometric Phase ◽  
Zeeman Effect ◽  
Relative Strength ◽  
Entangled States ◽  
Neutrino Masses ◽  
Geometric Phases ◽  
Aharonov Bohm ◽  
Gravitational Background

We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the Gravitational Zeeman Effect. These spinors are also found to acquire a geometric phase, in a similar way as they do in the presence of magnetic fields. However, in a gravitational background, the Aharonov-Bohm type effect, in addition to Berry-like phase, arises. Based on this result, we investigate geometric phases acquired by neutrinos propagating in a strong gravitational field. We also explore entanglement of neutrino states due to gravity, which could induce neutrino-antineutrino oscillation in the first place. We show that entangled states also acquire geometric phases which are determined by the relative strength between gravitational field and neutrino masses.

Classical electrodynamics of spinning particles

1984 ◽  
Vol 62 (10) ◽  
pp. 943-947
Author(s):  
Bruce Hoeneisen
Keyword(s):  
Electromagnetic Field ◽  
Angular Momentum ◽  
Wave Equations ◽  
Dipole Moments ◽  
Equations Of Motion ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
Electric Dipole Moments ◽  
Gauge Invariant ◽  
Intrinsic Angular Momentum

We consider particles with mass, charge, intrinsic magnetic and electric dipole moments, and intrinsic angular momentum in interaction with a classical electromagnetic field. From this action we derive the equations of motion of the position and intrinsic angular momentum of the particle including the radiation reaction, the wave equations of the fields, the current density, and the energy-momentum and angular momentum of the system. The theory is covariant with respect to the general Lorentz group, is gauge invariant, and contains no divergent integrals.

Electromagnetic energy of electric and magnetic dipoles

2013 ◽  
Vol 91 (7) ◽  
pp. 576-581 ◽  
Author(s):  
A.L. Kholmetskii ◽  
O.V. Missevitch ◽  
T. Yarman
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Electric Dipole ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Laboratory Frame ◽  
Relativistic Energy ◽  
Relativistic Case ◽  
Magnetic Dipoles ◽  
Relativistic Dependence

We derive a novel expression for the relativistic energy of electric and magnetic dipoles in an external electromagnetic field and discuss its implications. In particular, we find the relativistic dependence of the energy of a dipole on its velocity, v, and show that in the most convenient presentation of the energy (when the proper electric (p0) and magnetic (m0) dipole moments are involved, whereas the electric (E) and magnetic (B) fields are defined in the laboratory frame), its value essentially depends on the orientation of the velocity, v, with respect to vectors p0, E, and m0, B. To better understand the relativistic behavior of the energy of electric and magnetic dipoles, we introduce the notion of “latent” momentum of an electric dipole, in addition to the known concept of “hidden” momentum of a magnetic dipole. We finally show that the contribution of energy terms related to “hidden” and “latent” momenta of an electric or magnetic dipole is important in the relativistic case.

scholarly journals Effects of Linear Central Potential Induced by Lorentz Symmetry Violation framework and Cornell-type Non-electromagnetic Potential on Spin-0 Scalar Particles

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Electromagnetic Potential ◽  
Symmetry Violation ◽  
Linear Charge Density ◽  
Central Potential ◽  
Scalar Particles ◽  
Quantum Numbers

The relativistic quantum dynamics of a spin-0 scalar particle under the effects of the violation of Lorentz symmetry in the presence of a non-electromagnetic potential is analyzed. The central potential induced by the Lorentz symmetry violation is a linear electric and constant magnetic field and, analyze the effects on the eigenvalues and the wave function. We see there is a dependence of the linear charge density on the quantum numbers of the system

THE DYNAMICS OF OPEN STRINGS IN A BACKGROUND ELECTROMAGNETIC FIELD

1989 ◽  
Vol 04 (10) ◽  
pp. 2627-2652 ◽  
Author(s):  
V.V. NESTERENKO
Keyword(s):  
Electromagnetic Field ◽  
Electric Field ◽  
Quantum Dynamics ◽  
Dimensional Space ◽  
Open String ◽  
External Electromagnetic Field ◽  
Space Time ◽  
Bosonic String ◽  
Classical Level ◽  
Dimensional Space Time

The classical and quantum dynamics of an open bosonic string propagating in the D-dimensional space-time in the presence of a background electromagnetic field is investigated. An important point in this consideration is the use of the generalized light-like gauge. There are considered the two types of strings: the neutral strings with charges at their ends obeying the condition q1+q2=0 and the charged strings having a net charge q1+q2≠0. The consistency of the theory demands that the background electric field does not exceed its critical value. The distance between the mass levels of the neutral open string decreases (1−e2) times in comparison with the free string where e is the dimensionless strength of the electric field. The magnetic field does not affect this distance. It is shown that at a classical level, the squared mass of the neutral open string has a tachyonic contribution due to the motion of the string as a whole in transverse directions. The tachyonic term disappears if one considers, instead of M2, the string energy in a special reference frame where the projection of the total canonical momentum of the string onto the electric field vanishes. The contributions due to zero point fluctuations to the energy spectrum of the neutral string and to the Virasoro operators in the theory of charged string are found. It is shown that the constraint on the strength of an external electric field is absent when the open bosonic string is placed in an external electromagnetic field of a special configuration. In the case of four-dimensional space-time, it corresponds to the electric and magnetic fields which are equal and perpendicular to each other (isotropic configuration). The external electromagnetic field does not act on the fermionic variables of the spinning string.

scholarly journals Linear Central Potential Effects Induced by Lorentz Symmetry Violation on Spin-0 Particle Under Coulomb-type scalar Potential

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Scalar Potential ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Relativistic Wave Equation ◽  
Electromagnetic Potential ◽  
Relativistic Wave ◽  
Symmetry Violation ◽  
Central Potential ◽  
Coulomb Type

In this work, quantum dynamics of a spin-0 particle under the effects of Lorentz symmetry violation in the presence of Coulombtype non-electromagnetic potential $(S(r) ∝ \frac{1}{r})$ is investigated. The non-electromagnetic (or scalar) potential is introduced by modifying the mass term via transformation $M → M + \frac{η_c}{r}$ in the relativistic wave equation. The linear central potential induced by the Lorentz symmetry violation is a linear radial electric and constant magnetic field and, analyze the effects on the spectrum of energy and the wave function

Geometric relativistic phase from Lorentz symmetry breaking effects in the cosmic string spacetime

2016 ◽  
Vol 25 (09) ◽  
pp. 1641003
Author(s):  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Cosmic String ◽  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Quantum Phases ◽  
Effective Metric ◽  
Lorentz Symmetry Breaking ◽  
Relativistic Phase

In this paper, we have investigated the arising of geometric quantum phases in a relativistic quantum dynamics of a Dirac neutral particle from the spontaneous Lorentz symmetry violation effects in the cosmic string spacetime. We started by the Dirac equation in an effective metric, and we have observed a relativistic geometric phase which stems from the topology of the cosmic string spacetime and an intrinsic Lorentz symmetry breaking effects. It is shown that both Lorentz symmetry breaking effects and the topology of the defect yields a phase shift in the wave function of the nonrelativistic spin-[Formula: see text] particle.

Attractive inverse-square interaction from Lorentz symmetry breaking effects at a low energy scenario

2021 ◽  
Vol 36 (08n09) ◽  
pp. 2150067
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Neutral Particle ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Nonrelativistic Quantum ◽  
Symmetry Violation ◽  
Energy Scenario ◽  
Lorentz Symmetry Breaking ◽  
Tensor Formula

We analyze nonrelativistic quantum effects on a neutral particle due to the presence of an attractive inverse-square potential that stems from the effects of the Lorentz symmetry violation determined by the parity-even sector of the tensor [Formula: see text]. We show that bound states solutions to the Schrödinger equation can be achieved. We go further by considering a repulsive inverse-square potential yielded by Lorentz symmetry breaking effects, which are also determined the parity-even sector of the tensor [Formula: see text]. Then, we analyze the influence of this repulsive inverse-square potential on a neutral particle confined to two cylindrical surfaces and a cylindrical surface.

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