Feynman Functional Integral in the Fokker Theory

TL;DR

This paper proves the equivalence of two formulations of Fokker's quantum theory, connecting the Feynman functional integral approach with the quantum principle of least action for electromagnetic interactions.

Contribution

It establishes the equivalence between Fokker's two formulations of quantum theory using the generalized canonical form of Fokker's action.

Findings

Proves the equivalence of two formulations of Fokker's quantum theory.

Connects Feynman functional integral with the quantum principle of least action.

Provides a unified framework for electromagnetic interactions in quantum theory.

Abstract

The equivalence of two formulations of Fokker's quantum theory is proved - based on the Feynman functional integral representation of the propagator for a system of charges with direct electromagnetic interaction and the quantum principle of least action as an analogue of the Schr\"{o}dinger wave equation. The common basis for the two approaches is the generalized canonical form of Fokker's action.