On a stochastic Trotter formula with application to spontaneous localization models

Details On a stochastic Trotter formula with application to spontaneous localization models On a stochastic Trotter formula with application to spontaneous localization models

2011-03-21

arxiv.org/abs/1103.4018v1

Physics

Mathematical Physics

submitted to Journal of Statistical Physics

Scientific paper

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.

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