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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