The mathematical basis of physical laws: Relativistic mechanics, quantum mechanics, the Lorentz force, Maxwell's equations and non-electromagnetic forces for spin zero particles

1994 ◽  
Vol 7 (1) ◽  
pp. 39-58 ◽  
Author(s):  
R. Eugene Collins
Keyword(s):  
Quantum Mechanics ◽  
Lorentz Force ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mathematical Basis ◽  
Electromagnetic Forces ◽  
Physical Laws

Physical Laws and Maxwell’s Equations

2014 ◽  
pp. 53-106
Author(s):  
A.A. Kaufman ◽  
D. Alekseev ◽  
M. Oristaglio
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Physical Laws

Maxwell and the classical wave particle dualism

2008 ◽  
Vol 366 (1871) ◽  
pp. 1771-1780 ◽  
Author(s):  
J.T Mendonça
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Theoretical Framework ◽  
Quantum Field ◽  
Classical Wave

Maxwell's equations are one of the greatest theoretical achievements in physics of all times. They have survived three successive theoretical revolutions, associated with the advent of relativity, quantum mechanics and modern quantum field theory. In particular, they provide the theoretical framework for the understanding of the classical wave particle dualism.

Physical Laws and Maxwell's Equations

2017 ◽  
pp. 39-90
Author(s):  
Alexander Kaufman ◽  
Gregory Itskovich
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Physical Laws

IMPROVEMENT OF MAXWELL'S EQUATIONS IN ORDER TO OBTAIN THE RELATION OF ELECTROMAGNETIC AND GRAVITATIONAL FORCES IN ACCORDANCE WITH THE SRT AND GRT OF EINSTEIN

2020 ◽  
Author(s):  
Андрей Владимирович Рысин ◽  
Игорь Кронидович Никифоров
Keyword(s):  
Quantum Mechanics ◽  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
Space Time ◽  
Gravitational Forces ◽  
Time Continuum

Необходимость появления усовершенствованных уравнений Максвелла связано с имеющими место алогизмами и парадоксами вывода ряда уравнений и утверждений в ныне принятой электродинамике и квантовой механике. Основой предложенного авторами подхода является пространственно-временной континуум по преобразованиям Лоренца-Минковского вкупе с электромагнитным континуумом на основе классических уравнений Максвелла. The need for the appearance of improved Maxwell's equations is related to the existing alogisms and paradoxes of the derivation of a number of equations and statements in the currently accepted electrodynamics and quantum mechanics. The approach proposed by the authors is based on the space-time continuum based on Lorentz-Minkowski transformations together with the electromagnetic continuum based on the classical Maxwell equations.

Maxwell’s equations and Lorentz force in doubly special relativity

2019 ◽  
Vol 94 (8) ◽  
pp. 1227-1235 ◽  
Author(s):  
N. Takka ◽  
A. Bouda
Keyword(s):  
Special Relativity ◽  
Lorentz Force ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Doubly Special Relativity

scholarly journals Direct Derivation of Liénard–Wiechert Potentials, Maxwell’s Equations and Lorentz Force from Coulomb’s Law

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 237
Author(s):  
Hrvoje Dodig
Keyword(s):  
Energy Conservation ◽  
Special Relativity ◽  
Lorentz Force ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Conservation Principle ◽  
Coulomb’S Law ◽  
The Moment ◽  
Coulomb's Law ◽  
Energy Conservation Principle

In this paper, the solution to long standing problem of deriving Maxwell’s equations and Lorentz force from first principles, i.e., from Coulomb’s law, is presented. This problem was studied by many authors throughout history but it was never satisfactorily solved, and it was never solved for charges in arbitrary motion. In this paper, relativistically correct Liénard–Wiechert potentials for charges in arbitrary motion and Maxwell equations are both derived directly from Coulomb’s law by careful mathematical analysis of the moment just before the charge in motion stops. In the second part of this paper, the electrodynamic energy conservation principle is derived directly from Coulomb’s law by using similar approach. From this energy conservation principle the Lorentz force is derived. To make these derivations possible, the generalized Helmholtz theorem was derived along with two novel vector identities. The special relativity was not used in our derivations, and the results show that electromagnetism as a whole is not the consequence of special relativity, but it is rather the consequence of time retardation.

scholarly journals Connection Between Maxwell's Equations and the Dirac Equation

2021 ◽  
Author(s):  
Golden Gadzirayi Nyambuya
Keyword(s):  
Electromagnetic Field ◽  
Quantum Mechanics ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Charged Particles ◽  
Direct Function ◽  
Modern Physics ◽  
One Step ◽  
Electrically Charged ◽  
Insight Into

Electrically charged particles such as Electrons and Protons carry electric, E, and magnetic, B, fields. In addition to these fields, Quantum Mechanics (QM) endows these particles with an `arcane and spooky' field --- the wavefunction. This wavefunction of QM is not only assumed to be separate but distinct from the electromagnetic field. We herein upend this view by demonstrating otherwise. That is, we demonstrate that the four components of the Dirac wavefunction, can be shown to not only be an intimate, but, a direct function of the electromagnetic field carried by the particle in question. Insofar as unity, depth in our understanding and insight into both Dirac and Maxwell's equations as major pillars of Modern Physics, we believe that this work may very well inch us one-step-closer to the truth.

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