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A simplified method for integrating over Feynman histories

Published online by Cambridge University Press:  24 October 2008

S. G. Brush
S. G. Brush
Affiliation:
The Mathematical InstituteOxford
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Abstract

In Feynman's ‘space-time’ formulation of quantum mechanics the Green's function for the Schrödinger equation is defined by an integral over all histories of the system. By integrating over one-parameter sets of functions, one gets the same Green's function as by integrating over a Fourier series, in simple cases. The method may be useful for estimating the result in cases when the integration over all histories cannot be performed exactly.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 651 - 653
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Davies, H.Proc. Camb. Phil. Soc. 53 (1957), 199.CrossRefGoogle Scholar
(2)Davison, B.Proc. Roy. Soc. A, 225 (1954), 252.Google Scholar
(3)Edwards, S. F.Proc. Roy. Soc. A, 232 (1955), 371, 377.Google Scholar
(4)Feynman, R. P.Rev. Mod. Phys. 70 (1948), 367.CrossRefGoogle Scholar
(5)Matthews, P. T. and Salam, A.Nuovo Cim. (X), 2 (1955), 120.CrossRefGoogle Scholar
(6)Morette, C.Phys. Rev. 81 (1951), 848.CrossRefGoogle Scholar