Quantum mechanics without quantum logic

From: Saibal Mitra <smitra.domain.name.hidden>
Date: Thu, 15 Apr 2004 11:42:32 +0200


Quantum mechanics without quantum logic
Authors: D.A. Slavnov
Comments: 24 pages, no figures, Latex

We describe a scheme of quantum mechanics in which the Hilbert space and
linear operators are only secondary structures of the theory. As primary
structures we consider observables, elements of noncommutative algebra,
and the physical states, the nonlinear functionals on this algebra, which
associate with results of single measurement. We show that in such scheme
the mathematical apparatus of the standard quantum mechanics does not
contradict a hypothesis on existence of an objective local reality, a
principle of a causality and Kolmogorovian probability theory.

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Received on Thu Apr 15 2004 - 05:45:18 PDT

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