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Hamiltonian approach to the method of summation over Feynman histories

Published online by Cambridge University Press:  24 October 2008

H. Davies
H. Davies
Affiliation:
Christ Church, Oxford
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Abstract

The Feynman method of quantization by summation over q-histories is extended to a summation over q, p-histories, corresponding to the classical variational method of treating q and p as independent variables. The equivalence of this q-p summation to the usual quantization procedure is shown in the Heisenberg picture by choosing convenient canonical coordinates and in the Schrödinger picture by obtaining the usual representations of the q, p operators.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 147 - 155
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Feynman, R. P.Rev. Mod. Phys. 20 (1948), 367.CrossRefGoogle Scholar
(2)Morette, C.Phys. Rev. (2), 81 (1951), 848.CrossRefGoogle Scholar
(3)Davison, B.Proc. Roy. Soc. London, Ser. A, 225 (1954), 252.Google Scholar
(4)Davies, H.Proc. Cambridge Philos. Soc. 53 (1957), 199.CrossRefGoogle Scholar
(5)Kilmister, C. W.Proc. Cambridge Philos. Soc. 54 (1958), 302.CrossRefGoogle Scholar