0011125v1

related topics
{measurement, state, measurements}
{energy, gaussian, time}
{phase, path, phys}
{group, space, representation}
{let, theorem, proof}
{operator, operators, space}
{field, particle, equation}
{cos, sin, state}

Stochastic Reduction in Nonlinear Quantum Mechanics

D. C. Brody, L. P. Hughston

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.

oai_identifier:
oai:arXiv.org:quant-ph/0011125
categories:
quant-ph
comments:
4 pages
arxiv_id:
quant-ph/0011125
journal_ref:
Proc. R. Soc. London A458 (2002) 1117
created:
2000-11-30

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