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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

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