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We illustrate a simple derivation of the Schrodinger equation, which requires only knowledge of the electromagnetic wave equation and the basics of Einstein's special theory of relativity. We do this by extending the wave equation for…

History and Philosophy of Physics · Physics 2007-05-23 David W. Ward , Sabine M. Volkmer

The new derivation of the equation of the spin precession is given for a particle possessing electric and magnetic dipole moments. Contributions from classical electrodynamics and from the Thomas effect are explicitly separated. A fully…

High Energy Physics - Phenomenology · Physics 2016-08-12 Alexander J. Silenko

On the basis of Galilean invariance and the Doppler formula, combined with an observational condition, it is shown that the constancy of the velocity of light {\it in vacuo} can be derived, together with time-dilatation and Lorentz…

Classical Physics · Physics 2009-11-11 Claudia Pombo , Theo M. Nieuwenhuizen

There is a century-old tenet [1, 2] that the inverse Doppler frequency shift of light [3-13] is impossible in homogeneous systems with a positive refractive index. Here we break this long-held tenet by predicting a new kind of Doppler…

It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the…

Classical Physics · Physics 2020-05-04 Michael K. -H. Kiessling

This paper identifies specific angles of emission and reception of light for which there exists a mass-energy counterpart to the well known transverse Doppler shift. At these angles, the relationship of proper and relative frequency is the…

General Physics · Physics 2007-05-23 Steven M Taylor

We present an elementary analysis of the effects on light reflected from a uniformly moving mirror by using the photon picture of light and the conservation laws for energy and momentum of the system photon-mirror. Such a dynamical approach…

Classical Physics · Physics 2012-11-30 Aleksandar Gjurchinovski

In this work a new mechanics will be studied which is based on the hypothesis that the change of linear momentum of a particle happens as a discrete pulses. By using this hypothesis and by considering Newton's relation between energy and…

General Physics · Physics 2015-06-26 Munir Al-Hashimi

The usual computation of the spontaneous emission uses a mixture of classical and quantum postulates. A purely classical computation shows that a source of electromagnetic field absorbs light in the eigenmode it is able to emit. Thus in an…

Optics · Physics 2007-05-23 Jacques Moret-Bailly

We experimentally demonstrate a method to control the relative amount of quantum and classical energy correlations between two photons from a pair emitted by spontaneous parametric downconversion. Decoherence in the energy basis is achieved…

Quantum Physics · Physics 2017-11-29 Stefan Lerch , André Stefanov

There are several ways to derive Einstein's celebrated formula for the energy of a massive particle at rest, $E=mc^2$. Noether's theorem applied to the relativistic Lagrange function provides an unambiguous and straightforward access to…

Classical Physics · Physics 2023-08-08 A. V. Nenashev , S. D. Baranovskii , F. Gebhard

The exact factorization approach, originally developed for electron-nuclear dynamics, is extended to light-matter interactions within the dipole approximation. This allows for a Schrodinger equation for the photonic wavefunction, in which…

Quantum Physics · Physics 2018-08-29 Norah M. Hoffmann , Heiko Appel , Angel Rubio , Neepa T. Maitra

Mimicking the description of spinning particles in General Relativity, the Fermat Principle is extended to spinning photons. Linearization of the resulting Papapetrou-Souriau type equations yields the semiclassical model used recently to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Duval , Z. Horvathy , P. A. Horvathy

We explain simple laboratory experiments for making quantitative measurements of the Doppler effect from sources with acceleration. We analyze the spectra and clarify the conditions for the Doppler effect to be experimentally measurable,…

Physics Education · Physics 2009-11-20 Kenichiro Aoki , Takahisa Mitsui , Yuki Yamamoto

We demonstrate how to derive Maxwell's equations, including Faraday's law and Maxwell's correction to Amp\`ere's law, by generalizing the description of static electromagnetism to dynamical situations. Thereby, Faraday's law is introduced…

Classical Physics · Physics 2021-05-21 Jürgen König

In this article we propose a new relativistic paradox concerning the absorption of a photon by a hydrogen atom. We show that the actual cause of the paradox is one of the hypotheses of Bohr model; therefore, in order to solve the paradox,…

General Physics · Physics 2013-10-15 Carlo Maria Scandolo

We investigate the process of photon absorption by atoms or molecules shortly interacting with a laser beam in the dipole approximation. Assuming that the interaction time $\tau$ is much smaller than the lifetime of the corresponding…

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

The generation of laser-driven dense relativistic electron layers from ultra-thin foils and their use for coherent Thomson backscattering is discussed, applying analytic theory and one-dimensional particle-in-cell simulation. The blow-out…

Plasma Physics · Physics 2009-11-13 Jürgen Meyer-ter-Vehn , Hui-Chun Wu

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first…

Quantum Physics · Physics 2020-06-02 J. Sperling , I. A. Walmsley