Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle
type: Item
instance of: scholarly article
title: Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle
zbMATH Open document ID: 0574.60099
DOI: 10.1007/BF00398554
author: Jacqueline Bertrand
author: Bernard Gaveau
author: Guy Rideau
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: A model of quantum particle interacting with a boson field on a lattice with energy cut-off is considered. The solution of the associated Schrödinger equation is written as an expectation value with respect to a jump process. This process has a simple physical meaning as it is defined by a Poisson measure counting the jumps of occupation numbers for each field mode. Moreover, it allows to show the existence and to write in closed form the solution of a problem involving an unbounded interaction.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3917420
zbMATH Keywords: quantum field
zbMATH Keywords: quantum particle interacting
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Poisson measure
zbMATH Keywords: unbounded interaction
MaRDI profile type: Publication
cites work: Transformation canonique et renormalisation pour certaines équations d'évolution
cites work: Poisson processes on groups and Feynman path integrals
cites work: Stochastic processes and the evolution of quantum observables
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description: scientific article; zbMATH DE number 3917420