Also known as vector current, it is used in the geometric context of four-dimensional spacetime, rather than separating time from three-dimensional space.

6 мая 2016 г. · Since it's a scalar times a four-vector, it's another four-vector. Suppose we have an infinitesimal volume of charge moving with velocity →v. Proof 4-current is indeed a 4-vector for a system of particles electromagnetism - Is four-current $J^{\mu}$ necessarily timelike? Другие результаты с сайта physics.stackexchange.com

Clearly, charge density and current density transform as the time-like and space-like components of the same 4-vector.

Four-current density is a four-vector that combines the electric current density and the charge density of a system into a single mathematical entity.

Продолжительность: 33:38
Опубликовано: 26 июн. 2020 г.

Current four vector: Lorentz Transformation Equations for charge density (P)__and__ current density (3). Equation of continuity is div J + af ар at. =0 where ...

4-dimensional analog of current density and charge density.

Its presence shows that € is in fact a pseudo-tensor; it changes sign under a reflection or a change in the sense of time.

A four-vector is an element of a four-dimensional vector space considered as a representation space of the standard representation of the Lorentz group.

2 февр. 2020 г. · The four-current in relativity is a four-dimensional vector that describes the flow of electric charge and current in space and time. It ...