What the electromagnetic vector potential describes

Konopinski, E. J.

doi:10.1119/1.11298

Cited by 110 publications

(90 citation statements)

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“…Holding an opposite view are Heaviside and Hertz who envisaged the vector potential as merely an auxiliary artifact to computation (see Refs. [27][28][29][30][31][32][33][34]). The physicality of the vector potential is now well proven experimentally [35] and it was shown that in certain well-defined situations are measurable and possess a topology transforming according to the SU(2) group [36].…”

Section: The Electromagnetic Origin Of Inertiamentioning

confidence: 98%

On the Electromagnetic Origin of Inertia and Inertial Mass

Martins¹,

Pinheiro

2008

Int J Theor Phys

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We address the problem of inertial property of matter through analysis of the motion of an extended charged particle. Our approach is based on the continuity equation for momentum (Newton's second law) taking due account of the vector potential and its convective derivative. We obtain a development in terms of retarded potentials allowing an intuitive physical interpretation of its main terms. The inertial property of matter is then discussed in terms of a kind of induction law related to the extended charged particle's own vector potential. Moreover, it is obtained a force term that represents a drag force acting on the charged particle when in motion relatively to its own vector potential field lines. The time rate of variation of the particle's vector potential leads to the acceleration inertia reaction force, equivalent to the Schott term responsible for the source of the radiation field. We also show that the velocity dependent term of the particle's vector potential is connected with the relativistic increase of mass with velocity and generates a longitudinal stress force that is the source of electric field lines deformation. In the framework of classical electrodynamics, we have shown that the electron mass has possibly a complete electromagnetic origin and the obtained covariant equation solves the "4/3 mass paradox" for a spherical charge distribution.

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Section: The Electromagnetic Origin Of Inertiamentioning

confidence: 98%

On the Electromagnetic Origin of Inertia and Inertial Mass

Martins¹,

Pinheiro

2008

Int J Theor Phys

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“…For example, an atomic mass defect is expressible in terms of the Coulomb potential. Similarly, momentum balance selects the magnetic gauge, as Konopinski (7) and others have argued.…”

Section: Introductionmentioning

confidence: 93%

To Believe Or Not Believe In The A Potential, That?s a Question. Flux Quantization in Autistic Magnets. Prediction of a New Effect

Beauregard

2004

Found Phys

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“…Visivelmente o termo m r v + (q/c) r A faz agora o papel de momento da carga e no tratamento Hamiltoniano será o momento canônico, que por sua vez se transformará em -ih∇/2π no tratamento do efeito Aharonov-Bohm. Konopinski [12] chama o termo (q/c) r A de estoque de momento de campo à disposição da carga (store of field momentum available to the charge) porque na ausência de gradientes no lado direito da Eq. 25, o lado esquerdo é análogo ao da equação de variação da energia cinética …”

Section: T Qu Q C a Vunclassified

Argumentando sobre a realidade dos potenciais

Ferreira¹

2004

Rev. Bras. Ens. Fis.

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Argumenta-se que, da mesma forma que o efeito Aharonov-Bohm mostrou ser o potencial vetor detetável microscopicamente, os nossos transformadores parecem indicar que ele o é macroscopicamente através de sua derivada temporal. Nessa suposição, são estudadas as transformações de calibre a partir do calibre de Lorentz, que é o calibre causal. Os potenciais, escalar e vetorial, de uma carga em movimento nos calibres de Coulomb e Lorentz são apresentados. A ação mecânica dos potenciais também é discutida, mostrando-se que os efeitos de indução entre circuitos são incluidos no momento canônico na formulação de Hamilton. Finalmente menciona-se que a mais rica Álgebra Geométrica (ou Geometria de Clifford) é mais adequada para a descrição do Eletromagnetismo. Palavras-chave: potencial escalar, potencial vetor, transformações de calibre, efeito Aharonov-Bohm.It is argued that inasmuch as the Aharonov-Bohm effect supports the view on the actuality of the vector potential at the microscopic level, by the same token our very familiar transformers seems to perform the same at the macroscopic level through its time dependence. Assuming this, gauge transformations are studied proceeding from the causal Lorentz gauge. The potentials of a moving charge in the Coulomb and Lorentz gauges are presented. The mechanical action of the potentials is also discussed, and it is shown that induction effects between line currents are included in the canonical momentum of the Hamiltonian formalism. It is finally argued that the reacher Geometric (Clifford) Algebra is more suited for description of the Electromagnetism. Keywords: scalar potential, vector potential, Gauge transformations, Aharonov-Bohm effect. IntroduçãoNo desenvolvimento do Eletromagnetismo dois conceitos emergiram, o de campo elétrico e magnético (omitindo 'de indução') e o de seus potenciais, escalar e vetorial. Maxwell, fazendo-se intérprete das idéias de Faraday, considera o campo elétrico entre os condutores carregados, como sítio dos fenômenos elétricos, inclusive tensionando o éter [1]. Apesar disso, ao estudar as correntes de indução eletromagnética, atribui ao negativo da variação temporal do potencial vetor (este chamado por ele de 'momento cinético'[1]) a força eletromotriz da corrente de indução. Para ele, 'electromotive force is always to be understood to act on electricity only, not on the bodies in which electricity resides'[1] (força eletromotriz deve ser sempre entendida como agindo sobre cargas elétricas e não sobre os corpos em que elas residem). Com a sistematização da teoria, os conceitos de campo elétrico e magnético ganharam foro de grandezas físicas [2], ficando os potenciais como utilíssi-mas ferramentas matemáticas, mas não mais que isso. Em boa parte isto proveio do fato de serem os potenciais um tanto arbitrários, já que diferentes duplas de potencial vetor e potencial escalar, darem origem a um único par de campo elétrico e magnético. As transformações de calibre (gauge) geram aquela variedade. Porém, descobriu-se posteriormante que no mundo microsc...

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What the electromagnetic vector potential describes

Cited by 110 publications

References 0 publications

On the Electromagnetic Origin of Inertia and Inertial Mass

On the Electromagnetic Origin of Inertia and Inertial Mass

To Believe Or Not Believe In The A Potential, That?s a Question. Flux Quantization in Autistic Magnets. Prediction of a New Effect

Argumentando sobre a realidade dos potenciais

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