- #1
pmb_phy
- 2,952
- 1
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
http://www.geocities.com/physics_world/sr/efield_4vector.htm
This is similar to the energy measured by observer defined 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
http://www.geocities.com/physics_world/sr/efield_4vector.htm
This is similar to the energy measured by observer defined 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