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Published online by Cambridge University Press: 24 October 2008
In this paper the usual theory of quantum electrodynamics is outlined and an alternative method of quantization is introduced. Some of the difficulties of this theory are discussed and a modification is introduced to meet them. The theory is developed so as to satisfy the principle of relativity, but is not quantized. In the following paper an extension of the theory is given which removes this restriction.
† Peierls, R., Proc. Roy. Soc. A, 146 (1934), 420.CrossRefGoogle Scholar
† These coefficient matrices are, in general, functions of the time.
† The first step in establishing (11) requires the second of the equations (7).
† A term 
arises from the change of the integration from dk to dk.
† We write 
† It should be noted that 
are matrices that represent the charge and current operators, but the current/charge ratios which determine the shape of the Z-regions are given by the average values of these operators for the particular physical state considered. (This state is represented by a single column matrix Ψ* say, the average values then being 
.)
‡ The frame of reference in which the average value of the current density is zero at (x,t) is to be designated as the rest system for the point (x,t).