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The starting point of quantum mechanics is the relationship between energy and momentum: energy is proportional to the squared momentum! As a result, energy and momentum have not been treated equally. The wave equation required by…

Astrophysics · Physics 2010-01-30 Jin He

Relativistic quantum mechanics can be considered to have begun with a search for wave equations corresponding to each intrinsic spin. However, relativistic quantum physics differs fundamentally from the non-relativistic wave mechanics. It…

History and Philosophy of Physics · Physics 2026-03-09 Urjit A. Yajnik

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

Quantum Physics · Physics 2015-05-13 C. Wetterich

Quantum electrodynamic equations for magnetic resonance- and optical spectroscopic transitions have been for the first time obtained. New phenomena - stochastic electrical and magnetic spin wave resonances are predicted to be the effects of…

Quantum Physics · Physics 2009-03-03 D. Yearchuck , Y. Yerchak , A. Alexandrov

It is shown that the point charge and magnetic moment of electron produce together such a field that total electromagnetic momentum has a component perpendicular to electron velocity. As a result classical electron models, having magnetic…

Quantum Physics · Physics 2007-05-23 V. N. Melekhin

In this work we provide a novel class of degenerate solutions to the Dirac equation for massive particles, where the rotation of the spin of the particles is synchronized with the rotation of the magnetic field of the wave-like…

This is the second step of a program to use anharmonic plane waves as basis set in non-perturbative quantum field theory. The general framework developed previously is applied to quantum electrodynamics. To test the compatibility with…

High Energy Physics - Theory · Physics 2011-12-30 F. J. Himpsel

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

We consider the evolution of electromagnetic fields in curved spacetimes and calculate the exact wave equations of the associated electric and magnetic components. Our analysis is fully covariant, applies to a general spacetime and isolates…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christos G. Tsagas

A quantum mechanics representation based on position ($\vec{r}$), linear momentum($\vec{p}$) and energy($E$) eigenvalues is presented here. A set of equations, explicitly independent on wave function, was derived relating these observables.…

Quantum Physics · Physics 2019-03-22 Jeconias Rocha Guimarães

An effective field theory framework is used to investigate some Lorentz-violating effects on the generation of electromagnetic and gravitational waves, complementing previous work on propagation. Specifically we find solutions to a…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Quentin G. Bailey , Alexander S. Gard , Nils A. Nilsson , Rui Xu , Lijing Shao

Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass…

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

Friction incorporates the close connection between classical mechanics in irreversible thermodynamics. The translation to a quantum mechanical foundation is not trivial and requires a generalization of the Lagrange function. A change to…

Medical Physics · Physics 2015-02-02 W. Ulmer

The nonrelativistic wavefunction of a quantum state that contains all its information is derived directly from the effective quantum fields of the standard model of particle physics, which are the fundamental elements of reality of the…

General Physics · Physics 2025-11-25 Mani L. Bhaumik

The phenomenon of resonant energization of a relativistic quantum particle, moving in unison with an intense ElectroMagnetic Wave, is demonstrated in a semiclassical calculation. The wave nature of the quantum particle is of essence because…

High Energy Astrophysical Phenomena · Physics 2019-10-21 Swadesh M. Mahajan

In this paper we apply quantum hydrodynamics (QHD) to study the quantum evolution of a system of spinning particles and particles that have the electric dipole moments EDM in the rotating reference frame. The method presented is based on…

Plasma Physics · Physics 2016-12-21 Mariya Iv. Trukhanova

We prove that if the frame S is decaying surface non-radiating, in the sense of Definition 1.1, then if the charge and current are analytic, either they both vanish, or S is non-radiating, in the sense of a previous paper. In particularly,…

Analysis of PDEs · Mathematics 2022-03-01 Tristram de Piro

It is in accordance with such experiments as single photon self-interference that a photon, conveying one radiation energy quantum "$ h \times$ frequency", is spatially extensive and stretches an electromagnetic wave train. A wave train,…

General Physics · Physics 2015-06-18 J. X. Zheng-Johansson

In this paper we analyze again a transition from the classical to quantum description of bound charged particles, which involves a substantial modification of the structure of their electromagnetic (EM) fields related to the well-known fact…

Atomic Physics · Physics 2011-03-22 T. Yarman , A. L. Kholmetskii , O. V. Missevitch

We present a new algorithm for computing the electromagnetic fields of currents inside and outside of finite current sources, for arbitrary time variations in the currents. Unexpectedly, we find that our solutions for these fields are free…

Classical Physics · Physics 2015-05-28 Stanislaw Olbert , John W. Belcher , Richard H. Price