There one deals with the vector potential of this field.

There is some freedom in the choice of vector potential for a given magnetic field.

The magnetic field can be derived from the vector potential.

Secondly, solving for the magnetic vector potential is particularly difficult.

But the zero value of the vector potential is not a gauge invariant idea.

See Feynman chapter 14 and 15 for a general discussion of magnetic vector potential.

The vector field A is called the magnetic vector potential.

However, it can be written in terms of a vector potential, A(r):

What about the term involving the vector potential?

At present it is more common to quantize the Fourier components of the vector potential.

For the current loop, this limit is most easily derived for the vector potential.

However the full symmetry is more complicated, and also involves the vector potential .

The vector potential A is derived from Maxwell's equation: :.

There is no reason why the line integral of the vector potential between two arbitrary points should be independent of the path.

Note that acts like an electromagnetic vector potential.

For example, consider the wave equation applied to the electromagnetic vector potential:

For obtaining B we take the curl of the vector potential in a cylindrical coordinate system as follows.

The vector potential due to any current element is always in the direction of the current element.

A slowly varying current will produce a vector potential (or a magnetic field) varying at the same rate.

As a result, one must add a correction factor, which is generally done by subtracting the time derivative of the A vector potential described below.

In physics, a potential means a scalar potential or a vector potential.

The connection form for the principal bundle is the vector potential, typically denoted by A, when represented in some gauge.

This showed for the first time that the magnetic vector potential, hitherto a mathematical convenience, could have real physical (quantum) effects.

In terms of the scalar and vector potentials, this last equation becomes:

These sharp limits from the non-observation of the effects caused by the galactic vector potential have been shown to be model dependent.