Mathematical Proceedings of the Cambridge Philosophical Society

Summation over Feynman histories: the free particle and the harmonic oscillator

H. Davies

Published Jan 1, 1957• 13 citations

Abstract

ABSTRACT Using a particular parametrization of paths, the free particle and the harmonic oscillator are treated by the Feynman method of summation over histories of the system. The propagators obtained are, apart from an arbitrary phase factor, those of conventional quantum mechanics.

DOI: 10.1017/s0305004100032126

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