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We reveal all linear order inertial and gravitational effects on a non-relativistic Dirac particle (mass $m$) on the Earth up to the order of $1/m$ in the Foldy-Wouthuysen-like expansion. Applying the result to Penning trap experiments…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Asuka Ito

In the relativistic description of atomic systems in external fields the total momentum and the external electric field couple to the angular momentum of the individual particles. Therefore, the motional state of an ion in a particle trap…

Atomic Physics · Physics 2015-11-11 Niklas Michel , Jacek Zatorski , Christoph H. Keitel

We investigate the physics of a single trapped electron interacting with a radiation field without the dipole approximation. This gives new physical insights in the so-called geonium theory.

Quantum Physics · Physics 2011-08-04 Ana M. Martins , Stefano Mancini , Paolo Tombesi

We study the effect of gravity on stability of an electron living on the 3-brane. Our recently proposed fermion self-energy model is augmented by the energy of self-gravitating electron. This energy is evaluated using the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Eugen Simanek

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

In this note we consider Penning trap experiments as probes of axion-mediated forces. We show that the current measurement of electron's $g$-factor already sets a new exclusion limit for monopole-dipole axion forces acting on the electron…

High Energy Physics - Phenomenology · Physics 2023-12-18 Xing Fan , Mario Reig

Observation time is the key parameter for improving the precision of measurements of gravitational quantum states of particles levitating above a reflecting surface. We propose a new method of long confinement in such states of atoms,…

Instrumentation and Detectors · Physics 2020-06-16 V. V. Nesvizhevsky , F. Nez , S. A. Vasiliev , E. Widmann , P. Crivelli , S. Reynaud , A. Yu. Voronin

Owing to the Klein tunneling phenomenon, the permanent confinement or localization of electrons within a graphene quantum dot is unattainable. Nonetheless, a constant magnetic field can transiently ensnare an electron within the quantum…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Mohammed El Azar , Ahmed Bouhlal , Ahmed Jellal

Boundary dependent corrections to the spin energy eigenvalues of an electron in a weak magnetic field and confined by a harmonic trapping potential are investigated. The electromagnetic field is quantized through a normal mode expansion…

Quantum Physics · Physics 2014-04-17 Robert Bennett , Claudia Eberlein

The inertial (due to rotation) and gravitational fields of the Earth affect the motion of an elementary particle and its spin dynamics. This influence is not negligible and should be taken into account in high-energy physics experiments.…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

It is known that the appearance of Klein tunneling in graphene makes it hard to keep or localize electrons in a graphene-based quantum dot (GQD). However, a magnetic field can be used to temporarily confine an electron that is traveling…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Mohammed El Azar , Ahmed Bouhlal , Abdulaziz D. Alhaidari , Ahmed Jellal

The Einstein-Hilbert action (and thus the dynamics of gravity) can be obtained by combining the principle of equivalence, special relativity and quantum theory in the Rindler frame and postulating that the horizon area must be proportional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Padmanabhan

We analyze orbital effects of an in-plane magnetic field on the spin structure of states of a gated quantum dot based in a two-dimensional electron gas. Starting with a $k \cdot p$ Hamiltonian, we perturbatively calculate these effects for…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Peter Stano , Chen-Hsuan Hsu , Marcel Serina , Leon C. Camenzind , Dominik M. Zumbühl , Daniel Loss

We study the electromagnetic and gravitational fields of the proton and electron in terms of the Einstenian gravity via the introduction of an arbitrary Lande $g$-factor in the Kerr-Newman solution. We show that at length scales of the…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Leonardo A. Pachon , F. L. Dubeibe

Recent work has shown that it may be possible to detect gravitationally induced entanglement in tabletop experiments in the not-too-distant future. However, there are at present no thoroughly developed models for this type of experiment…

Quantum Physics · Physics 2024-02-21 Jackson Yant , Miles Blencowe

This paper proposes a gravitodynamic theory because there are similarities between gravitational theory and electrodynamics. Based on Einstein's principle of equivalence, two coordinate conditions are proposed into the four-dimensional line…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Chang

In this paper, we investigate complexity of anisotropic cylindrical object under the influence of electromagnetic field in $f(G,T)$ theory, where $G$ and $T$ indicate the Gauss-Bonnet term and trace of the stress-energy tensor,…

General Relativity and Quantum Cosmology · Physics 2023-01-12 M. Sharif , Komal Hassan

Starting from an heuristic approach to the semiclassical limit in loop quantum gravity, the construction of effective Hamiltonians describing Planck length corrections to the propagation of photons and spin 1/2 fermions, leading to modified…

High Energy Physics - Phenomenology · Physics 2016-11-09 Luis F. Urrutia

The quantum electrodynamic (QED) description of light-and-matter interaction is one of the most fundamental theories of physics and has been shown to be in excellent agreement with experimental results. Specifically, measurements of the…

We discuss the relation between the gravitational and electromagnetic fields as governed by the Einstein-Maxwell field equations. It is emphasized that the tendency of the gravitational field to induce electromagnetic effects increases as…

General Relativity and Quantum Cosmology · Physics 2008-02-21 Kjell Rosquist
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