Journal of Mathematical Physics

A probabilistic formulation of quantum theory. II

Alexander Bach, Thomas Wenning

Published Jun 1, 1982• 10 citations

Abstract

An integral representation of the quantum mechanical expectation which recently has been set up for bounded operators is generalized to unbounded operators by means of representation and integration in Gel’fand triplets. For Gaussian measures it turns out that a time translation invariant measure exists which, contrary to classical statistical mechanics, is singular w.r.t. the measures which represent the states.

DOI: 10.1063/1.525470

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