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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Representation of Symmetries and Observables in Functional Hilbert Space. I.

A. Rieckers

Abstract

A representation of symmetry transformations motivated by the functional formulation of quantum field theory is rigorously discussed in a functional Hilbert space. The set of generating functionals is equipped with an inner product by means of the Friedrichs-Shapiro-integral and completed to an Hilbert space. Unitarity, continuity, and reducibility are investigated for the symmetry operations in this space. Also non-unitary transformations are considered.

Received: 1971-1-23
Published Online: 2014-6-2
Published in Print: 1971-4-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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