Stochastic reduction in nonlinear quantum mechanics
Dorje C. Brody, Lane P. Hughston · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2002
Stochastic extensions of the Schrödinger equation have attracted attention recently as plausible models for state reduction in quantum mechanics. Here we formulate a general approach to stochastic Schrödinger 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.