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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

For classical field theories with probabilistic initial conditions the classical field observables are an idealization. Their arbitrarily precise values poorly reflect the characteristic uncertainty in the presence of substantial…

Quantum Physics · Physics 2026-03-06 Christof Wetterich

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

Mathematical Physics · Physics 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

The photon model of light has been known for decades to be self-inconsistent and controversial theory with numerous intrinsic conflicts. This paper revises the model and explores its applicability for description of classical…

General Physics · Physics 2021-06-16 Yuriy Akimov , Pavlo Rutkevych

Based on the concepts of the quantum field theory of virtual photons as quanta of electromagnetic interaction, we discuss the physical content of the phenomena underlying the principle of quantum uncertainties. We consider the features of…

Quantum Physics · Physics 2022-08-04 V. N. Murzin , L. Yu. Shchurova

A rigorous treatment of light-matter interactions typically requires an interacting quantum field theory. However, most applications of interest are handled using classical or semiclassical models, which are valid only when quantum-field…

Quantum Gases · Physics 2024-12-20 J. L. Figueiredo , J. T. Mendonça , H. Terças

We present a formalism that enables the analytic calculation of the interaction of a spin-half particle with a polychromatic electromagnetic field. This powerful new approach provides a clear physical picture even for cases with highly…

Quantum Physics · Physics 2019-07-03 Ben Yuen , Christopher J. Foot

The purpose of this article is to show that the standard method of introducing the quantum description of the electromagnetic field -- by canonical field quantization -- is not the only one. We have chosen instead as the starting point the…

Quantum Physics · Physics 2020-09-30 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

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

We give a rigorous description of a model of the quantized electromagnetic field interacting with quantized current fields. In the special case of classical currents our results agree with common knowledge about the problem. A toy model of…

Mathematical Physics · Physics 2009-11-10 Jan Naudts , Wojciech De Roeck

As is known, the existence of a small noncommutativity between coordinates would generate nonlocal self-interactions in the electromagnetic theory. To explore some consequences of this effect on the propagation of photons we consider Moyal…

High Energy Physics - Theory · Physics 2023-11-28 Daniela D'Ascanio , Pablo Pisani , Ulises Wainstein Haimovichi

We revisit the quantum oscillator model of the electromagnetic field and conclude that, while the nonlocal positive and negative frequency ladder operators generate a photon Fock basis, the Hermitian field operators obtained by second…

Quantum Physics · Physics 2023-12-13 Margaret Hawton

Theories which have been used to describe the quantized electromagnetic field interacting with a nonlinear dielectric medium are either phenomenological or derived by quantizing the macroscopic Maxwell equations. Here we take a different…

atom-ph · Physics 2016-08-31 Mark Hillery , Leonard Mlodinow

Deterministic dynamical models are discussed which can be described in quantum mechanical terms. In particular, a local quantum field theory is presented which is a supersymmetric classical model. -- The Hilbert space approach of Koopman…

High Energy Physics - Theory · Physics 2007-05-23 Hans-Thomas Elze

The concept of unified field theory is discussed. Two nonlinear field models with world volume type action are considered, namely extremal space-time film model and Born -- Infeld nonlinear electrodynamics. The natural appearance of two…

General Physics · Physics 2020-04-23 Alexander A. Chernitskii

We present a framework for quantization of electromagnetic field in the presence of dielectric media with time-varying optical properties. Considering a microscopic model for the dielectric as a collection of matter fields interacting with…

Quantum Physics · Physics 2023-11-15 Ashwith Prabhu , Jennifer Parra-Contreras , Elizabeth A. Goldschmidt , Kanu Sinha

A quantum field theory approach is put forward to generalize the concept of classical spatial light beams carrying orbital angular momentum to the single-photon level. This quantization framework is carried out both in the paraxial and…

Quantum Physics · Physics 2007-05-23 G. F. Calvo , A. Picon , E. Bagan

The coherence properties of the classical waves are discussed in terms of the Cauchy problem for the wave equation, and of a discrete representation by an ensemble of Hamiltonian systems. Wave quanta are related to specific "action fields",…

Quantum Physics · Physics 2021-09-15 M. Grigorescu

In this paper we discuss in detail the interface between Classical Electrodynamics and Quantum Theory, which shows up as well known unphysical phenomena at the Compton scale in both the theories and argue that the photon of the…

General Physics · Physics 2007-05-23 B G Sidharth

These notes are more or less a faithful representation of my talk at the Workshop on ``Quantum Coding and Quantum Computing'' held at the University of Virginia. As such it is an introduction for non-physicists to the topics of the quantum…

Quantum Physics · Physics 2007-05-23 S. J. van Enk
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