Weber’s electrodynamics for the hydrogen atom

<p>The original Weber action at a distance theory is valid for slowly varying effects, and it in addition to predicting all of the usual electrodynamical results, leads to crucial effects where the Maxwell theory fails. The Weber’s approach is an alternative to <a title="Maxwell's Equations" href="http://en.wikipedia.org/wiki/Maxwell%27s_Equations">Maxwell electrodynamics</a>, where the <a title="Coulomb's Law" href="http://en.wikipedia.org/wiki/Coulomb%27s_Law">Coulomb's law</a> becomes velocity dependent [1-6]. Here we prove that the Weber’s theory gives the fine structure energy level splitting for the hydrogen atom without the assumption of mass change with velocity.</p>

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A Lecture Demonstration of Energy Level Splitting in the Hydrogen Molecule Based on Coupled Electric Resonant Circuits

International Journal of Electrical Engineering Education ◽

10.1177/002072097901600105 ◽

1979 ◽

Vol 16 (1) ◽

pp. 17-25

Author(s):

S. Middelhoek ◽

W. S. M. Beke

Keyword(s):

Hydrogen Atom ◽

Energy Level ◽

Differential Equations ◽

Hydrogen Molecule ◽

Mutual Inductance ◽

Electrical Analogue ◽

Level Splitting ◽

Lecture Demonstration

A description is given of a lecture demonstration of energy level splitting in the hydrogen molecule. The demonstration is based on the electrical analogue of two coupled resonant circuits. Coupling occurs by mutual inductance. The relevant differential equations describing the hydrogen atom and the tuned circuits are also presented.

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Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space

Communications in Theoretical Physics ◽

10.1088/1572-9494/abb7cc ◽

2020 ◽

Vol 72 (12) ◽

pp. 125101

Author(s):

S Aghababaei ◽

G Rezaei

Keyword(s):

Hydrogen Atom ◽

Energy Level ◽

Level Splitting ◽

Commutative Space ◽

Rashba Coupling

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A piezoelectric contact problem with slip dependent friction and damage

Journal of Applied Analysis ◽

10.1515/jaa-2020-2034 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Abderrezak Kasri

Keyword(s):

Weak Solution ◽

Contact Problem ◽

Dry Friction ◽

Existence And Uniqueness ◽

Variational Formulation ◽

Normal Compliance ◽

Electrically Conductive ◽

Coulomb’S Law ◽

Electrical Condition ◽

Coulomb's Law

Abstract The aim of this paper is to study a quasistatic contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The contact is modelled with an electrical condition, normal compliance and the associated version of Coulomb’s law of dry friction in which slip dependent friction is included. We derive a variational formulation for the model and, under a smallness assumption, we prove the existence and uniqueness of a weak solution.

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Innovative Method of Urban Planning Management Based on the Mathematical Modelling of the Network Objects

MATEC Web of Conferences ◽

10.1051/matecconf/201825103040 ◽

2018 ◽

Vol 251 ◽

pp. 03040

Author(s):

Dmitriy Anufriev ◽

Olga Shikulskaya ◽

Mikhail Shikulskiy ◽

Alyona Naberezhnaya

Keyword(s):

Urban Planning ◽

Mathematical Modelling ◽

Retail Trade ◽

Factors Affecting ◽

Innovative Method ◽

Coulomb’S Law ◽

Urban Planning Management ◽

Coulomb's Law

When urban planning for convenience of the population and business it is necessary to place rationally objects of retail trade and service. Currently a large number of different methods are available to achievement of this purpose, but they are not universal. The most effective solutions could be achieved through the transfer of laws from one area of knowledge to another. The Coulomb’s law was used. Authors analyzed all factors affecting the incurrence of profits or losses of a retail network.

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