Sharpening the Gravitational Aharonov-Bohm effect
- URL: http://arxiv.org/abs/2407.06010v1
- Date: Mon, 8 Jul 2024 15:02:08 GMT
- Title: Sharpening the Gravitational Aharonov-Bohm effect
- Authors: Akshat Pandey,
- Abstract summary: We show that the Aharonov-Bohm effect in principle has nothing to do with quantum-mechanics.
We then discuss how this classical field description can be connected to the standard one particle quantum description of the Aharonov-Bohm effect.
- Score: 1.1672776958819344
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the recent gravitational analogue of the Aharonov-Bohm effect for a classical system, namely a complex scalar field. We use this example to demonstrate that the Aharonov-Bohm effect in principle has nothing to do with quantum-mechanics. We then discuss how this classical field description can be connected to the standard one particle quantum description of the Aharonov-Bohm effect.
Related papers
- Dynamics of "Classical" Bosons, Fermions, and beyond [0.0]
We study the classical mechanics and dynamics of particles that retain some memory of quantum statistics.
Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles.
We show how their exchange statistics is reflected in the symplectic form of the manifold.
arXiv Detail & Related papers (2024-09-19T15:55:46Z) - The quantum Hall effect under the influence of gravity and inertia: A
unified approach [44.99833362998488]
We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia.
The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained.
arXiv Detail & Related papers (2024-03-11T18:01:55Z) - Quantum dissipation and the virial theorem [22.1682776279474]
We study the celebrated virial theorem for dissipative systems, both classical and quantum.
The non-Markovian nature of the quantum noise leads to novel bath-induced terms in the virial theorem.
We also consider the case of an electrical circuit with thermal noise and analyze the role of non-Markovian noise in the context of the virial theorem.
arXiv Detail & Related papers (2023-02-23T13:28:11Z) - Aharonov-Bohm effect in phase space [0.0]
We characterize for the first time the Aharonov-Bohm effect within two different formalisms of quantum mechanics.
The aim is to obtain a consistent description of the quantum system by means of the quasiprobability Wigner function.
We study the Aharonov-Bohm effect within them for two specific cases: One determined by a non-zero electric potential, and another determined by a non-zero magnetic vector potential.
arXiv Detail & Related papers (2022-11-23T18:38:58Z) - Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
The superposition principle is one of the most fundamental principles of quantum mechanics.
Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion.
We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
arXiv Detail & Related papers (2022-11-01T13:29:44Z) - Correspondence Between the Energy Equipartition Theorem in Classical
Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed.
We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z) - A classical analog of the quantum Zeeman effect [0.0]
We study the contribution of a uniform weak magnetic field on their dynamics.
We are able to recover the splitting of the energy levels of the atom called Zeeman's effect.
Our work, based on the old double solution' theory of de Broglie, shows that a dualistic model involving a particle guided by a scalar field can reproduce the normal Zeeman effect.
arXiv Detail & Related papers (2022-02-14T14:04:12Z) - Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator
in the Som-Raychaudhuri space-time [30.03335724329084]
The effect from the parameters of space-time, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed.
We find an analogs effect for the bound states from the Aharonov-Bohm effect in our considered system.
arXiv Detail & Related papers (2021-06-23T06:48:42Z) - Aharonov-Bohm effect with an effective complex-valued vector potential [0.0]
In weak interactions with a post-selection of the source, the effective vector potential is, generally, complex-valued.
This leads to new experimental protocols to detect the Aharonov-Bohm phase before the source is fully encircled.
arXiv Detail & Related papers (2021-01-28T10:32:44Z) - Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum
electromagnetic field [0.0]
We use a covariant formalism capable of describing the electric and magnetic versions of the Aharonov-Bohm effect.
We show that the magnetic Aharonov-Bohm effect must be present even if the solenoid generating the magnetic field is shielded by a perfect conductor.
arXiv Detail & Related papers (2020-11-17T23:49:09Z) - Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality.
This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment.
It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
arXiv Detail & Related papers (2020-02-27T15:04:08Z)
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.