Hostname: page-component-788cddb947-w95db Total loading time: 0 Render date: 2024-10-14T02:38:28.964Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  24 October 2008

H. Davies
H. Davies
Affiliation:
Christ ChurchOxford
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 199 - 205
Copyright
Copyright © Cambridge Philosophical Society 1957

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Feynman, R. P.Rev. Mod. Phys. 20 (1948), 367.Google Scholar
(2)Morette, C.Phys. Rev. (2), 81 (1951), 848.CrossRefGoogle Scholar
(3)Davison, B.Proc. Roy. Soc. A, 225 (1954), 252.Google Scholar