TY - JOUR

T1 - Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

AU - Chubykalo, A.

AU - Espinoza, A.

AU - Flores Quispe, Roxana

AU - Rodriguez, A. Gutierrez

PY - 2006/2

Y1 - 2006/2

N2 - 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 two-parameter 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.

AB - 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 two-parameter 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.

KW - Electromagnetic potentials

KW - Electromagnetic waves

KW - Helmholtz theorem

KW - v-gauge

UR - http://www.scopus.com/inward/record.url?scp=33644890762&partnerID=8YFLogxK

U2 - 10.1007/s10702-006-1847-y

DO - 10.1007/s10702-006-1847-y

M3 - Artículo

AN - SCOPUS:33644890762

VL - 19

SP - 37

EP - 49

JO - Foundations of Physics Letters

JF - Foundations of Physics Letters

SN - 0894-9875

IS - 1

ER -