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Classically, electromagnetic pulses are described by real fields that couple to charged matter and propagate causally. We will show here that real fields of the form used in standard classical electromagnetic theory have a quantum…

Quantum Physics · Physics 2021-12-07 Margaret Hawton

The total mass of noncollinear photons forming diverging light pulses is defined and found explicitly. Both classical and quantum derivations are presented. The quantum derivation is based on the use of multimode coherent states, and links…

Quantum Physics · Physics 2016-05-20 M. V. Fedorov , S. V Vintskevich

We consider electromagnetic field quantization in an expanding universe. We find that the covariant (Gupta-Bleuler) method exhibits certain difficulties when trying to impose the quantum Lorenz condition on cosmological scales. We thus…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-21 Jose Beltran Jimenez , Antonio L. Maroto

Canonical quantization of the photon -- a free massless vector field -- is considered in cosmological spacetimes in a two-parameter family of linear gauges that treat all the vector potential components on equal footing. The goal is setting…

High Energy Physics - Theory · Physics 2024-07-26 Dražen Glavan

A relativistic version of the correspondence principle, a limit in which classical electrodynamics may be derived from QED, has never been clear, especially when including gravitational mass. Here we introduce a novel classical field theory…

General Physics · Physics 2023-10-02 Adam Marsh

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

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

High Energy Physics - Theory · Physics 2025-09-29 Kanan Anwar

We derive an arbitrary-gauge criterion under which condensed matter within an electromagnetic field may transition to a photon condensed phase. Previous results are recovered by selecting the Coulomb-gauge wherein photon condensation can…

Quantum Physics · Physics 2023-05-24 Dominic M. Rouse , Adam Stokes , Ahsan Nazir

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

Analysis of PDEs · Mathematics 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

We study a model of massive photons with a parity invariant and non-local mass term. We identify a discrete symmetry of the classical equations of motion and show that this symmetry can be thought of as an electric-magnetic duality valid…

High Energy Physics - Theory · Physics 2016-08-03 Ansar Fayyazuddin

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

We quantize the macroscopic electromagnetic field in a system of non-dispersive polarizable bodies moving at constant velocities possibly exceeding the Cherenkov threshold. It is shown that in general the quantized system is unstable and…

Quantum Physics · Physics 2014-03-25 Mario G. Silveirinha

The creation of electrically charged states and the resulting electromagnetic fields are considered in space-time regions in which such experiments can actually be carried out, namely in future-directed light cones. Under the simplifying…

Mathematical Physics · Physics 2025-03-05 Detlev Buchholz , Fabio Ciolli , Giuseppe Ruzzi , Ezio Vasselli

It is argued that the title of this paper represents a misconception. Contrary to widespread beliefs it is electromagnetic field modes that are ``systems'' and can be entangled, not photons. The amount of entanglement in a given state is…

Quantum Physics · Physics 2009-11-07 S. J. van Enk

We discuss the canonical quantization of Quantum Electrodynamics in $2+1$ dimensions, with a Chern-Simons topological mass term and gauge-covariant coupling to a Dirac spinor field. A gauge-fixing term is used which generates a canonical…

High Energy Physics - Theory · Physics 2009-10-22 Kurt Haller , Edwin Lombridas

It is considered constraints imposed by the quantum mechanics on the measurement of the density of the electromagnetic energy. First, the energy of the electromagnetic wave and the volume (time) are bound with the Heisenberg uncertainty…

General Physics · Physics 2007-05-23 D. L. Khokhlov

Adopting the gauge-invariant but path-dependent variables formalism, we study the coupling of torsion fields with photons in the presence of an external background electromagnetic. We explicitly show that, in the case of a constant electric…

High Energy Physics - Theory · Physics 2010-03-19 Patricio Gaete , José A. Helaÿel-Neto

We present a formulation of Quantum Electrodynamics in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge…

High Energy Physics - Theory · Physics 2015-06-26 E. C. Marino

We study the radiation of photons from a classical charged particle. We particularly consider a situation where the particle has a constant velocity in the distant past, then is accelerated, and then has a constant velocity in the distant…

Mathematical Physics · Physics 2021-02-09 J. Dimock

We second quantize the Fermi Lagrangian in the Lorenz gauge to obtain a covariant theory of photon quantum mechanics. Number density is real so it is interpreted as position probability density. The Hilbert space is the vector space of…

Quantum Physics · Physics 2026-02-04 Margaret Hawton