The Action option and a Feynman quantization of spinor fields in terms of ordinary C numbers

Klauder, John R.

doi:10.1016/0003-4916(60)90131-7

The Action option and a Feynman quantization of spinor fields in terms of ordinary C numbers

John R. Klauder
(
- Princeton U.
)

1960

46 pages

Published in:

Annals Phys. 11 (1960) 123-168

DOI:

10.1016/0003-4916(60)90131-7

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Abstract: (Elsevier)

The Feynman sum represents a convenient formulation of quantum mechanics for Bose fields, but, to secure a similar formulation applicable to Fermion fields, it has been necessary to use “anticommuting c -number” field histories to insure the anticommutivity of the quantum field operators. Here, a method is presented to sum over histories for spinor fields which (1) employs the familiar classical c -number expression for the action, (2) predicts anti-commutation rules and Fermi statistics, and (3) retains the invariance of the theory under a change in phase of the complex ψ field.

Note:

Based on a thesis submitted to Princeton University, May, 1959

thesis

References(48)

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