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The assumption is made that only transversely polarized photons are needed for a correct description of Quantum Electrodynamics. A simple mathematical transformation is used to introduce new field operators which satisfy the full Maxwell…

Mathematical Physics · Physics 2017-03-16 Jan Naudts

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts

Quantum electrodynamics describes the interactions of electrons and photons. Electric charge (the gauge coupling constant) is energy dependent, and there is a previous claim that charge is affected by gravity (described by general…

High Energy Physics - Theory · Physics 2011-11-10 David J. Toms

In the de Broglie - Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it…

Classical Physics · Physics 2019-01-07 David C. Lush

Theoretical accounts of ultrastrongly coupled light-matter systems commonly assume that it arises from the interaction of an emitter with propagating photon modes supported by a structure, understanding photons as the excitations of the…

Quantum Physics · Physics 2025-08-04 Diego Fernández de la Pradilla , Esteban Moreno , Johannes Feist

Strongly correlated electron systems are a cornerstone of modern physics, being responsible for groundbreaking phenomena from superconducting magnets to quantum computing. In most cases, correlations in electrons arise exclusively due to…

Quantum Physics · Physics 2024-05-15 Suraj Kumar , Jeremy Lim , Nicholas Rivera , Wesley Wong , Yee Sin Ang , Lay Kee Ang , Liang Jie Wong

Recent progress in the study of the photon emission from highly-charged heavy ions is reviewed. These investigations show that high-$Z$ ions provide a unique tool for improving the understanding of the electron-electron and electron-photon…

Atomic Physics · Physics 2009-11-10 Sephan Fritzsche , Paul Indelicato , Thomas Stohlker

In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We…

Astrophysics · Physics 2008-11-26 A. E. Shabad , V. V. Usov

In an exact quantum-mechanical framework, we show that expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge, and in the presence of classical sources, automatically lead to causal and retarded…

Quantum Physics · Physics 2019-04-02 Bo-Sture K. Skagerstam , Karl-Erik Eriksson , Per K. Rekdal

The quantum dynamics of quasi-one-dimensional ring with varying electron filling factor is investigated in presence of external electric field. The system is modeled within Hubbard Hamiltonian with attractive Coulomb correlation, which…

Superconductivity · Physics 2016-04-21 Bradraj Pandey , Sudipta Dutta , Swapan K. Pati

The proof of the existence of the thermodynamic limit for electrons and nuclei interacting via the Coulomb potential, in the framework of non-relativistic quantum mechanics, was accomplished decades ago. This result did not take account of…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

Entanglement of photons is a fundamental feature of quantum mechanics, which stands at the core of quantum technologies such as photonic quantum computing, communication, and sensing. An ongoing challenge in all these is finding an…

Quantum Physics · Physics 2026-01-30 Gefen Baranes , Ron Ruimy , Alexey Gorlach , Ido Kaminer

We show that two photons coupled to Rydberg states via electromagnetically induced transparency can interact via an effective Coulomb potential. This interaction gives rise to a continuum of two-body bound states. Within the continuum,…

We study the structure of bound states appearing in systems governed by the Coulomb and short-range interactions. We analyze the binding energies and wave functions of the bound states generated by the Coulomb plus short-range potential. We…

High Energy Physics - Phenomenology · Physics 2026-01-21 Chisato Uno , Tetsuo Hyodo

We study Coulomb interacting electrons confined in polygonal quantum rings. We focus on the interplay of localization at the polygon corners and Coulomb repulsion. Remarkably, the Coulomb repulsion allows the formation of in-gap states,…

Mesoscale and Nanoscale Physics · Physics 2017-01-13 Anna Sitek , Mugurel Tolea , Marian Nita , Llorenç Serra , Vidar Gudmundsson , Andrei Manolescu

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum…

Classical Physics · Physics 2019-05-22 Patricio Gaete , José A. Helayël-Neto , L. P. R. Ospedal

We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

Superconductivity · Physics 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky

Electromagnetism becomes a nonlinear theory having (effective) photon-photon interactions due at least to electron-positron fluctuations in the vacuum. We discuss the consequences of the nonlinearity for the force felt by a charge probe…

High Energy Astrophysical Phenomena · Physics 2013-03-20 Lance Labun , Jan Rafelski

It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

Classical Physics · Physics 2007-05-23 J. H. Field
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