%0 Journal Article
%A Brody, Dorje C.
%A Hughston, Lane P.
%T Stochastic reduction in nonlinear quantum mechanics
%D 2002
%R 10.1098/rspa.2001.0914
%J Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
%P 1117-1127
%V 458
%N 2021
%X Stochastic extensions of the SchrÃ¶dinger equation have attracted attention recently as plausible models for state reduction in quantum mechanics. Here we formulate a general approach to stochastic SchrÃ¶dinger 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.
%U http://rspa.royalsocietypublishing.org/content/royprsa/458/2021/1117.full.pdf