 93238 Pavel Bona
 Selfconsistency and Objectification
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Oct 1, 93

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Abstract. Three mathematical models of interaction of a ``small''
quantummechanical system with a ``large'' one are presented. It is discussed
their possible role in solving interpretation problems of quantum mechanics
(QM). The third model determines the (``unsharp'')
quantity measured in the described process as a consequence of the chosen
interaction of the ``object'' with a macroscopic ``apparatus''.
The fourth of the presented models introduces a natural nonlinearity
into dynamics of QM; the nonlinear evolution allows to distinguish between
the two kinds of mixed states: between the improper ones (called also
``elementary mixtures''), and the genuine mixtures (called also ``Gemenge'').
A role of ``selfconsistency'' in trials of interpretation
of QM as a universal theory is briefly discussed. The paper contains some
remarks connecting the ``objectification problem''
of quantum measurement theory with the problem of universality of quantum
mechanics.
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