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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
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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

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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