Partially classical limit of the Nelson model

Details Partially classical limit of the Nelson model Partially classical limit of the Nelson model

2004-11-12

arxiv.org/abs/math-ph/0411046v1

Physics

Mathematical Physics

latex, 24 pages

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Partially classical limit of the Nelson model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partially classical limit of the Nelson model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partially classical limit of the Nelson model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87660