Partially classical limit of the Nelson model

Simple item page
dc.creatorGinibre, J.
dc.creatorNironi, F.
dc.creatorVelo, G.
dc.date2004-11-12
dc.date.accessioned2026-07-07T04:31:37Z
dc.date.available2026-07-07T04:31:37Z
dc.descriptionWe consider the Nelson model which describes a quantum system of nonrelativistic identical particles coupled to a possibly massless scalar Bose field through a Yukawa type interaction. We study the limiting behaviour of that model in a situation where the number of Bose excitations becomes infinite while the coupling constant tends to zero in a suitable sense. In that limit the appropriately rescaled Bose field converges to a classical solution of the free wave or Klein-Gordon equation depending on whether the mass of the field is zero or not, the quantum fluctuations around that solution satisfy the wave or Klein-Gordon equation and the evolution of the nonrelativistic particles is governed by a quantum dynamics with an external potential given by the previous classical solution.
dc.descriptionlatex, 24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0411046
dc.identifierhttp://arxiv.org/abs/math-ph/0411046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57885
dc.subjectMathematical Physics
dc.subjectPrimary 81T27, secondary 81T10
dc.titlePartially classical limit of the Nelson model
dc.typetext

Files

Collections

arXiv