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Quantum fields and poisson processes: Interaction of a cut-off boson field with a quantum particle

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Abstract

The solution of the Schrödinger equation for a boson field interacting with a quantum particle is written as an expectation on a Poisson process counting the variations of the boson-occupation numbers for each momentum. An energy cut-off is needed for the expectation to be meaningful.

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References

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Authors and Affiliations

  1. Laboratoire de Physique théorique et mathématique, Université Paris VII, Tour 33-43, ler étage, 2, place Jussieu, 75251, Paris Cédex 05, France

    Jacqueline Bertrand

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

    Bernard Gaveau

  3. Laboratoire de Physique théorique et mathématique, Université Paris VII, Tour 33-43, ler étage, 2, place Jussieu, 75251, Paris Cédex 05, France

    Guy Rideau

Authors
  1. Jacqueline Bertrand
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  2. Bernard Gaveau
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  3. Guy Rideau
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Bertrand, J., Gaveau, B. & Rideau, G. Quantum fields and poisson processes: Interaction of a cut-off boson field with a quantum particle. Lett Math Phys 9, 73–82 (1985). https://doi.org/10.1007/BF00398554

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  • DOI: https://doi.org/10.1007/BF00398554

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