On a stochastic Trotter formula with application to spontaneous localization models
Mathematical Physics
2015-05-27 v1 math.MP
Probability
Quantum Physics
Abstract
We consider the relation between so called continuous localization models - i.e. non-linear stochastic Schr\"odinger evolutions - and the discrete GRW-model of wave function collapse. The former can be understood as scaling limit of the GRW process. The proof relies on a stochastic Trotter formula, which is of interest in its own right. Our Trotter formula also allows to complement results on existence theory of stochastic Schr\"odinger evolutions by Holevo and Mora/Rebolledo.
Cite
@article{arxiv.1103.4018,
title = {On a stochastic Trotter formula with application to spontaneous localization models},
author = {Detlef Dürr and Günter Hinrichs and Martin Kolb},
journal= {arXiv preprint arXiv:1103.4018},
year = {2015}
}
Comments
submitted to Journal of Statistical Physics