In this paper we consider generalized spin-boson models with singular perturbations. It is proven that under the infrared regularity condition Hamiltonians have the unique ground state for sufficiently small values of coupling constants. In addition it is shown that the asymptotic creation and annihilation operators of massless boson field exist.
Publié le : 2010-10-15
Classification:
quantum field theory,
Fock spaces,
spectral analysis,
81Q10
@article{1288357972,
author = {TAKAESU, Toshimitsu},
title = {On generalized spin-boson models with singular perturbations},
journal = {Hokkaido Math. J.},
volume = {39},
number = {3},
year = {2010},
pages = { 317-349},
language = {en},
url = {http://dml.mathdoc.fr/item/1288357972}
}
TAKAESU, Toshimitsu. On generalized spin-boson models with singular perturbations. Hokkaido Math. J., Tome 39 (2010) no. 3, pp. 317-349. http://gdmltest.u-ga.fr/item/1288357972/