RELATION BETWEEN RELATIVISTIC QUANTUM-MECHANICS AND CLASSICAL ELECTROMAGNETIC-FIELD THEORY

The objective of this report is twofold. In the first place, it aims to demonstrate that a four-dimensional local U(1) gauge invariant relativistic quantum mechanical Dirac-type equation is derivable from the equations for the classical electromagnetic field. In the second place, the transformational consequences of this local U(1) invariance are used to obtain solutions of different Maxwell equations. © 1995 The American Physical Society.