On the quantization of the new field theory II

Abstract

The purpose of this paper, which is a continuation of the recently published Part I, is the proof that the quantum mechanics of a particle can be derived from the new field theory, with the help of the following conceptions. In the classical treatment of the field theory we have shown the existence of solutions corresponding to closed systems, such as that of a point charge. We assume that such solutions, representing closed systems, exist also in the quantized field theory. We shall show that a closed system as a whole, with respect to suitably chosen properties, behaves as a mass-point in quantum mechanics and that some hitherto rather unclear features of Dirac’s theory have a natural and simple explanation. This result is closely connected with the Lorentz invariance of the unitary field theory.