Topology, nonlocality and duality in classical electrodynamics
- URL: http://arxiv.org/abs/2204.12582v1
- Date: Tue, 26 Apr 2022 20:43:27 GMT
- Title: Topology, nonlocality and duality in classical electrodynamics
- Authors: Jos\'e A. Heras and Ricardo Heras
- Abstract summary: We argue that classical electrodynamics can predict nonlocal effects by showing an example of a topological and nonlocal electromagnetic angular momentum.
We unify both angular momenta by means of the electromagnetic angular momentum arising in the configuration formed by a dyon encircling an infinitely-long dual solenoid.
We verify that this duality-invariant electromagnetic angular momentum is insensitive to the radiative effects of the Li'enard-Wiechert fields of the encircling dyon.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We have recently (Heras et al. in Eur. Phys. J. Plus 136:847, 2021) argued
that classical electrodynamics can predict nonlocal effects by showing an
example of a topological and nonlocal electromagnetic angular momentum. In this
paper we discuss the dual of this angular momentum which is also topological
and nonlocal. We then unify both angular momenta by means of the
electromagnetic angular momentum arising in the configuration formed by a dyon
encircling an infinitely-long dual solenoid enclosing uniform electric and
magnetic fluxes and show that this electromagnetic angular momentum is
topological because it depends on a winding number, is nonlocal because the
electric and magnetic fields of this dual solenoid act on the dyon in regions
for which these fields are excluded and is invariant under electromagnetic
duality transformations. We explicitly verify that this duality-invariant
electromagnetic angular momentum is insensitive to the radiative effects of the
Li\'enard-Wiechert fields of the encircling dyon. We also show how duality
symmetry of this angular momentum suggests different physical interpretations
for the corresponding angular momenta that it unifies.
Related papers
- Electrodynamic Aharonov-Bohm effect [0.0]
We propose an electrodynamic Aharonov-Bohm scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux.
In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages.
arXiv Detail & Related papers (2023-02-28T13:07:24Z) - Wherein lies the momentum in Aharonov-Bohm quantum interference
experiment -- A classical physics perspective [0.0]
We show that a subtle momentum can be seen to lie in the product of the drift velocities of the current carrying charges.
It is this hard-to-pinpoint, additional momentum, reflected through an extra phase difference between the interfering beams of electrons.
arXiv Detail & Related papers (2023-01-16T16:25:23Z) - Understanding the propagation of excitations in quantum spin chains with
different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity.
It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z) - Spin-1/2 particles under the influence of a uniform magnetic field in
the interior Schwarzschild solution [62.997667081978825]
relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained.
Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
arXiv Detail & Related papers (2021-11-30T14:46:00Z) - Can classical electrodynamics predict nonlocal effects? [0.0]
We consider an electromagnetic configuration lying in a non-simply connected region, which consists of a charged particle encircling an infinitely-long solenoid enclosing a uniform magnetic flux.
We argue that the nonlocality of this interaction is of topological nature by showing that the electromagnetic angular momentum of the configuration is proportional to a winding number.
The magnitude of this electromagnetic angular momentum may be interpreted as the classical counterpart of the Aharonov-Bohm phase.
arXiv Detail & Related papers (2021-08-25T00:32:18Z) - Interaction of the magnetic quadrupole moment of a non-relativistic
particle with an electric field in the background of screw dislocations with
a rotating frame [0.0]
We consider a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation.
We derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations.
Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.
arXiv Detail & Related papers (2021-06-08T20:20:30Z) - New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field.
We modify the time-dependent Schr"odinger equation through a change of representation.
The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
arXiv Detail & Related papers (2020-11-23T17:29:31Z) - General quantum-mechanical solution for twisted electrons in a uniform
magnetic field [68.8204255655161]
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed.
The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
arXiv Detail & Related papers (2020-05-13T16:35:10Z) - Quantum coherent spin-electric control in a molecular nanomagnet at
clock transitions [57.50861918173065]
Electrical control of spins at the nanoscale offers architectural advantages in spintronics.
Recent demonstrations of electric-field (E-field) sensitivities in molecular spin materials are tantalising.
E-field sensitivities reported so far are rather weak, prompting the question of how to design molecules with stronger spin-electric couplings.
arXiv Detail & Related papers (2020-05-03T09:27:31Z) - Spin current generation and control in carbon nanotubes by combining
rotation and magnetic field [78.72753218464803]
We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field.
By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
arXiv Detail & Related papers (2020-01-20T08:54:56Z) - The quantum phase of a dyon [0.0]
When a dyon encircles an infinitely-long enclosing uniform electric and magnetic fields, its wave function accumulates a duality-invariant quantum phase.
We show how its duality symmetry unifies the Aharonov-Bohm phase with its dual phase.
We argue that a spin 1/2 dyon has electric and magnetic moments, the former being greater than the latter because of the Schwinger-Zwanziger quantisation condition.
arXiv Detail & Related papers (2019-10-02T05:09:55Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.