Can the electromagnetic vector potential be written in terms of a complex field?

[Spinnor]

Is there a complex field that when properly interpreted yields the four components of electromagnetic vector potential, A_0, A_1, A_2, and A_3?

Somewhat along the lines of the complex field ψ yielding information about a particles energy, momentum, and position probability.

Thanks for any help!

 

[andrien]

faraday tensor does describe in a single way the fields.it is an antisymmetric tensor having six independent components.However one can write maxwell eqn in a form similar to dirac eqn in which E and B are used in some form like E+iB. Although those potentials can be combined to called four potentials but it is just a way of simplification and covariance.