Something like the level sets of the z-component of the magnetic vector potential or something . talk ) 22 : 44, 11 February 2010 ( UTC)
12.
The two magnetic vectors, \ vec B and \ vec \ mu _ s couple together so that there is a certain energy cost depending on their relative orientation.
13.
Generalizing from static electricity to electromagnetism, we have a second potential, the magnetic vector potential "'A "', which can also undergo gauge transformations.
14.
The gluon fields for each color charge each have a " timelike " component analogous to the electric potential, and three " spacelike " components analogous to the magnetic vector potential.
15.
The above definition does not define the magnetic vector potential uniquely because, by definition, we can arbitrarily add degree of freedom available when choosing "'A " '.
16.
The magnetic vector potential "'A "'is a vector field defined along with the electric potential " ? " ( a scalar field ) by the equations:
17.
In the context of special relativity, it is natural to join the magnetic vector potential together with the ( scalar ) electric potential into the electromagnetic potential, also called " four-potential ".
18.
Animation of electromagnetic wave, illustrating the directional relationship of the "'E "'electric and "'B "'magnetic vectors relative to the direction of wave propagation.
19.
Using the Lorenz gauge, Maxwell's equations can be written compactly in terms of the magnetic vector potential "'A "'and the electric scalar potential " ? ":
20.
Where \ mathbf { E } and \ mathbf { A } are the electric field and magnetic vector potential, respectively, \ epsilon _ 0 is the vacuum permittivity and we are using SI units.
