Abstract
This paper is a continuation of the author’s preceding one. In the preceding paper the author has rigorously constructed the Feynman path integral for the Dirac equation in the form of the sum-over-histories, satisfying the superposition principle, over all paths of one electron in space-time that goes in any direction at any speed, forward and backward in time with a finite number of turns. In the present paper, first we will generalize the results in the preceding paper and secondly prove in a direct way that our Feynman path integral satisfies the unitarity principle and the causality one.
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This work is partially supported by JSPS KAKENHI Grant Number 2640016.
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Ichinose, W. Notes on the Feynman path integral for the Dirac equation. J. Pseudo-Differ. Oper. Appl. 9, 789–809 (2018). https://doi.org/10.1007/s11868-017-0227-7
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DOI: https://doi.org/10.1007/s11868-017-0227-7