11. Note that \ Im \ { W \ } acts like an electromagnetic vector potential . 12. Also implied is the magnetic vector potential is parallel to the conductor's axis. 13. This relation allows the definitive identification of A ^ \ mu with the electromagnetic vector potential . 14. Although it would be possible simply to curl of the vector potential equals the magnetic field. 15. Also, " A " ?in V�s is the electromagnetic 4-vector potential . 16. There one deals with the vector potential \ vec A ( \ mathbf r ) of this field. 17. Notice that the magnetic field becomes 1D; the electric field stays 2D as does the vector potential . 18. The use of scalar and vector potentials is now standard in the solution of Maxwell's equations. 19. Where is the scalar potential and the vector potential , the components of the canonical momentum four-vector is 20. This idea also applies to vector potentials , and is exploited in classical field theory and also gauge field theory.
