Skip to main content
SpringerLink
Log in

Quantum fields and poisson processes II: Interaction of boson-boson and boson-fermion fields with a cut-off

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Quantum field evolutions are written as expectation values with respect to Poisson processes in two simple models: interaction of two boson fields (with conservation of the number of particles in one field) and interaction of a boson with a fermion field. The introduction of a cut-off ensures that the expectation values are well-defined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. BertrandJ., GaveauB., and RideauG., Lett. Math. Phys. 9, 73–82 (1985).

    Google Scholar 

  2. NelsonE., J. Math. Phys. 5, 1190 (1964); Eckmann, J. P., Commun. Math. Phys. 18, 247 (1970); Albeverio, S., J. Math. Phys. 14, 1800 (1973), Helv. Phys. Acta 45, 303 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique et Mathématique, Université Paris VII, Tour 33-43, ler étage, 2 place Jussieu, 75251, Paris Cedex 05, France

    J. Bertrand

  2. Département de Mathématiques, Université Paris VI, Tour 45-46, 5e étage, 4 place Jussieu, 75230, Paris Cedex 05, France

    B. Gaveau & G. Rideau

Authors
  1. J. Bertrand
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Gaveau
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Rideau
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bertrand, J., Gaveau, B. & Rideau, G. Quantum fields and poisson processes II: Interaction of boson-boson and boson-fermion fields with a cut-off. Lett Math Phys 9, 353–362 (1985). https://doi.org/10.1007/BF00397761

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00397761

Keywords

Search

Navigation