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On a stochastic Trotter formula with application to spontaneous localization models
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Dürr, Detlef, Hinrichs, Günter and Kolb, Martin (2011) On a stochastic Trotter formula with application to spontaneous localization models. Journal of Statistical Physics, Vol.143 (No.6). pp. 1096-1119. doi:10.1007/s10955-011-0235-6 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-011-0235-6
Abstract
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0022-4715 | ||||
Official Date: | June 2011 | ||||
Dates: |
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Volume: | Vol.143 | ||||
Number: | No.6 | ||||
Page Range: | pp. 1096-1119 | ||||
DOI: | 10.1007/s10955-011-0235-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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