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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
Affiliation:
Christ Church, Oxford

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
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

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