---
res:
bibo_abstract:
- We report on a novel strategy to derive mean-field limits of quantum mechanical
systems in which a large number of particles weakly couple to a second-quantized
radiation field. The technique combines the method of counting and the coherent
state approach to study the growth of the correlations among the particles and
in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon
system of equations from the Nelson model with ultraviolet cutoff and possibly
massless scalar field. In particular, we prove the convergence of the reduced
density matrices (of the nonrelativistic particles and the field bosons) associated
with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon
equations in trace norm. Furthermore, we derive explicit bounds on the rate of
convergence of the one-particle reduced density matrix of the nonrelativistic
particles in Sobolev norm.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Nikolai K
foaf_name: Leopold, Nikolai K
foaf_surname: Leopold
foaf_workInfoHomepage: http://www.librecat.org/personId=4BC40BEC-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Peter
foaf_name: Pickl, Peter
foaf_surname: Pickl
bibo_doi: 10.1007/978-3-030-01602-9_9
bibo_volume: 270
dct_date: 2018^xs_gYear
dct_language: eng
dct_publisher: Springer@
dct_title: Mean-field limits of particles in interaction with quantised radiation
fields@
...