Quantum mechanical Wiener processes

A. M. Cockroft and R. L. Hudson

Journal of Multivariate Analysis, 1977, vol. 7, issue 1, 107-124

Abstract: Quantum mechanical analogues of Wiener processes are defined and their existence proved, in terms of which the field operators of extremal universally invariant representations of the canonical commutation relations are expressible as stochastic integrals. A noncommutative analogue of the Wiener transformations is constructed and shown to have properties analogous to the classical Wiener transformation.

Keywords: Canonical; quantum; mechanics; Wiener; process; Wiener; transform (search for similar items in EconPapers)
Date: 1977
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