Summation over Feynman histories: the free particle and the harmonic oscillator
- 1 January 1957
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 53 (1), 199-205
- https://doi.org/10.1017/s0305004100032126
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.Keywords
This publication has 3 references indexed in Scilit:
- On Feynmann’s ‘integral over all paths’Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1954
- On the Definition and Approximation of Feynman's Path IntegralsPhysical Review B, 1951
- Space-Time Approach to Non-Relativistic Quantum MechanicsReviews of Modern Physics, 1948