The Ito Formalism and Stochastic Modifications of Quantum Dynamics
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It is shown in this paper how the Ito formalism for handling stochastic
differential equations can be used to analyze models for the stochastic
modification of quantum dynamics which have been proposed to solve the
quantum measurement problem. This formalism allows the systematic
computation of those quantities that are of most physical interest.
The procedures mentioned are illustrated by the analysis of two models
due to Pearle and Gisin which, though unsatisfactory as solutions of
the quantum measurement problem, nevertheless help clarify the
conceptual framework of stochastic modifications of quantum dynamics.
Some of the previously known results are rigorously derived for the
first time.