Some Jump Processes in Quantum Field Theory

Roderich Tumulka () and Hans-Otto Georgii ()
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Roderich Tumulka: Università di Genova, Dipartimento di Fisica and INFN sezione di Genova
Hans-Otto Georgii: Ludwig-Maximilians-Universität, Mathematisches Institut

A chapter in Interacting Stochastic Systems, 2005, pp 55-73 from Springer

Abstract: Summary A jump process for the positions of interacting quantum particles on a lattice, with time-dependent transition rates governed by the state vector, was first considered by J.S. Bell. We review this process and its continuum variants involving “minimal” jump rates, describing particles as they get created, move, and get annihilated. In particular, we sketch a recent proof of global existence of Bell’s process. As an outlook, we suggest how methods of this proof could be applied to similar global existence questions, and underline the particular usefulness of minimal jump rates on manifolds with boundaries.

Keywords: Transition Rate; Global Existence; Jump Process; Jump Rate; Bohmian Mechanic (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27110-9_4

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DOI: 10.1007/3-540-27110-4_4

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