On the additional invariance of the Dirac and Maxwell equations

Abstract

In this note we show that there exists a new set of operators {Q} (this set is different from the operators which satisfy the Lie algebra of the Poincare group P(1,3) with respect to which the Dirac and Maxwell equations are invariant. We shall give the detailed proof of our assertions only for the Dirac equation, since for the Maxwell equations all the assertions are proved analogously.