On a Stochastic Trotter Formula with Application to Spontaneous Localization Models |
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Authors: | Detlef Dürr Günter Hinrichs Martin Kolb |
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Institution: | 1.Mathematisches Institut,Ludwig-Maximilians Universit?t,München,Germany;2.Department of Statistics,Oxford University,Oxford,UK |
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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. |
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