Stochastic Reduction in Nonlinear Quantum Mechanics

Abstract

Stochastic extensions of the Schrodinger equation have attracted attention recently as plausible models for state reduction in quantum mechanics. Here we formulate a general approach to stochastic Schrodinger dynamics in the case of a nonlinear state space of the type proposed by Kibble. We derive a number of new identities for observables in the nonlinear theory, and establish general criteria on the curvature of the state space sufficient to ensure collapse of the wave function.

4 pages

References in corpus (1)

• Continuous quantum measurement and Itô formalism

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