8 citations · 15 across the 3 of their papers we have counts for
3 papers
math-ph2008★ 8 cited
Spectral and scattering theory for some abstract QFT Hamiltonians
Christian Gérard, Annalisa Panati
We introduce an abstract class of bosonic QFT Hamiltonians and study their spectral and scattering theories. These Hamiltonians are of the form $H=\d\G(ω)+ V$ acting on the bosonic…
math-ph2008★ 5 cited
Spectral and scattering theory for space-cutoff models with variable metric
Christian Gérard, Annalisa Panati
We consider space-cutoff models with a variable metric of the form \[ H= \d\G(ω)+ \int_{\rr}g(x):P(x, φ(x)):\d x, \] on the bosonic Fock space $L^{2}(\rr)$, where the ki…
math-ph2006★ 2 cited
Existence and non existence of a ground state for the massless Nelson model under binding condition
Annalisa Panati
We consider a model describing non-relativistic particles coupled to a massless quantum scalar field, called \emph{Nelson model}, under a binding condition on the external pote…