Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potential...

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Detalles Bibliográficos
Autores: Chubykalo, Andrew, Espinoza, Augusto, Alvarado Flores, Rolando, Gutiérrez Rodríguez, Alejandro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:México
Institución:Universidad Autónoma de Zacatecas
Repositorio:Repositorio Institucional Caxcán
Idioma:inglés
OAI Identifier:oai:http://ricaxcan.uaz.edu.mx:20.500.11845/516
Acceso en línea:http://hdl.handle.net/20.500.11845/516
https://doi.org/10.48779/88r6-ww76
Access Level:acceso abierto
Palabra clave:CIENCIAS FISICO MATEMATICAS Y CIENCIAS DE LA TIERRA [1]
Helmholtz theorem
v-gauge
electromagnetic potentials
electromagnetic waves
Descripción
Sumario:In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potentials exist: one of them (solenoidal) can act exclusively with the velocity of light c and the other one (irrotational) with an arbitrary finite velocity v (including a velocity more than c) . We show also that the irrotational component of the electric field has a physical meaning and can propagate exclusively instantaneously.