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On the Feynman path integral in q, , p space

Published online by Cambridge University Press:  24 October 2008

N. L. Balazs
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

An alternative definition is proposed for the kernel used by Feynman. This definition involves a functional integration in a q, , p space, treating these variables as independent. The equivalence of this definition to the Feynman one and to the one using the variables q, p is exhibited.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Feynman, R. P.Rev. Modern Phys. 20 (1948), 367.Google Scholar
(2)Tobocman, W.Nuovo Cimento 3 (1956), 1213.CrossRefGoogle Scholar
(3)Davies, H.Proc. Cambridge Philos. Soc. 59 (1963), 147.Google Scholar
(4)Dirac, P. A. M.Canad. J. Math. 2 (1950), 129.Google Scholar
(5)Nordheim, L. and Fuss, E. Die Hamilton-Jacobische Theorie der Dynamik. Hand buch der Physik (ed. Geiger, H. and Scheel, K.), Band V, 92 (Springer-Verlag; Berlin, 1927).Google Scholar