1957Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

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

H. Davies

Open publisher page 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.

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What this paper is about

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.

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Available 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.

Key concepts: Propagator, Feynman diagram, Harmonic oscillator, Free particle, Parametrization (atmospheric modeling), Physics, Quantum, Feynman integral

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