On a stochastic Trotter formula with application to spontaneous localization models

Dürr, D., Hinrichs, G. and Kolb, M. (2011) On a stochastic Trotter formula with application to spontaneous localization models. Journal of Statistical Physics, 143 (6). pp. 1096-1119. ISSN 0022-4715 doi: 10.1007/s10955-011-0235-6

Abstract/Summary

We consider the relation between so called continuous localization models—i.e. non-linear stochastic Schrödinger 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 Schrödinger evolutions by Holevo and Mora/Rebolledo.