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It is demonstrated that, if one remains in the framework of quantum mechanics taken alone, stationary states (energy eigenstates) are in no way singled out with respect to nonstationary ones, and moreover the stationary states would be…

Quantum Physics · Physics 2019-01-16 V. A. Golovko

This paper presents a thorough investigation into nonradiating sources of Maxwell's equations. Various characterizations are developed to clarify the properties of nonradiating sources, considering their varying degrees of regularity.…

Analysis of PDEs · Mathematics 2024-02-19 Peijun Li , Jue Wang

At first, we discuss parallels electric and magnetic fields solutions in a gravitational background. Then, considering eletromagnetic and gravitational waves symmetries we show a particular solution for stationary gravitational waves.…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , J. A. Helayel-Neto , Gilmar S. Dias

In this work, we study the electromagnetic energy and energy rate spectra produced by a point particle in the presence of plane wave fields. Our approach is based on a semiclassical formulation, in which the current distribution that…

Quantum Physics · Physics 2025-07-29 T. C. Adorno , A. J. D. Farias Junior , D. M. Gitman

We address the problem of the electromagnetic radiation produced by charge distributions in the framework of a semiclassical approach proposed in the work by Bagrov, Gitman, Shishmarev and Farias [J. Synchrotron Rad. (2020). 27, 902-911].…

Quantum Physics · Physics 2023-07-19 T. C. Adorno , A. I. Breev , A. J. D. Farias , D. M. Gitman

The known exact solutions of Einstein's vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We describe a scheme designed to check…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Peter A. Hogan , Dirk Puetzfeld

We propose that the Schrodinger equation results from applying the classical wave equation to describe the physical system in which subatomic particles play random motion, thereby leading to quantum mechanics. The physical reality described…

General Physics · Physics 2022-04-18 Xue-Shu Zhao , Yu-Ru Ge , Xin Zhao , Hong Zhao

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

Quantum Physics · Physics 2015-06-16 John S. Briggs , James M. Feagin

A textbook interpretation of quantum physics is that quantum objects can be described in a particle or a wave picture, depending on the operations and measurements performed. Beyond this widely held believe, we demonstrate in this…

Angular momenta of electromagnetic waves are important both in concepts and applications. In this work, we systematically discuss two types of angular momenta, i.e., spin angular momentum and orbital angular momentum in various cases, e.g.,…

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave…

High Energy Physics - Theory · Physics 2009-11-11 E. M. C. Abreu , C. Pinheiro , S. A. Diniz , F. C. Khanna

This article presents a general master equation formalism for the interaction between travelling pulses of quantum radiation and localized quantum systems. Traveling fields populate a continuum of free space radiation modes and the…

Quantum Physics · Physics 2020-09-02 Alexander Holm Kiilerich , Klaus Mølmer

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

General Relativity and Quantum Cosmology · Physics 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

We describe a new class of exact square integrable solutions of the Pauli and Dirac equation in rotating electromagnetic fields. Solutions obtained by putting equations in the stationary form with help of a coordinate transformation…

Mathematical Physics · Physics 2011-06-03 B. V. Gisin

The Maxwell equations in the presence of sources are first derived without making use of the potentials and the Hamilton-Jacobi equation for classical electrodynamics is written down. The manifestly gauge invariant theory is then quantized…

Quantum Physics · Physics 2017-06-05 Partha Ghose

The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much more numerous than is usually believed. We show Using no physical hypotheses) that the Schroedinger equation for a nonrelativistic system of spinless…

Quantum Physics · Physics 2015-05-18 Maurice A. de Gosson , Basil Hiley

In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be…

Fluid Dynamics · Physics 2014-04-14 Ivan C. Christov

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

Quantum optics is a field of research based on the quantum theory of light. Here, we show that the classical theory of light can be equally effective in explaining a cornerstone of quantum optics: the quantization of the free radiation…

Quantum Physics · Physics 2015-05-21 Michele Marrocco

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