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Some Jump Processes in Quantum Field Theory

In: Interacting Stochastic Systems

Author

Listed:
  • Roderich Tumulka

    (Università di Genova, Dipartimento di Fisica and INFN sezione di Genova)

  • Hans-Otto Georgii

    (Ludwig-Maximilians-Universität, Mathematisches Institut)

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.

Suggested Citation

  • Roderich Tumulka & Hans-Otto Georgii, 2005. "Some Jump Processes in Quantum Field Theory," Springer Books, in: Jean-Dominique Deuschel & Andreas Greven (ed.), Interacting Stochastic Systems, pages 55-73, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-27110-9_4
    DOI: 10.1007/3-540-27110-4_4
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