I made a new web page to describe/define the electric field 4-vector to someone. I thought I'd post a link to that page here. Some of you might find it interesting since most people only think of the electric field as being only the components of a 2-tensor. See(adsbygoogle = window.adsbygoogle || []).push({});

http://www.geocities.com/physics_world/sr/efield_4vector.htm

This is similar to theenergy measured by observerdefined as follows

Let U_obs be the 4-velocity of an observer. Let P be the 4-momentum of a particle. Then the scalar product of the two is called E_obs = energy measured by observer

E_obs = P*U_obs

In some sense of the term this can be viewed as an invariant scalar. In any case E_obs is a tensor of rank zero and is therefore a scalar by definition. Like wise E^a = F^ab U_a is the electric field 4-vector as measured by the observer whose 4-velocity is U.

Pete

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Electric Field 4-vector

**Physics Forums | Science Articles, Homework Help, Discussion**