8 citations · 9 across the 3 of their papers we have counts for
3 papers
math-ph2010★ 1 cited
Absence of ground state for the Nelson model on static space-times
Christian Gérard, Fumio Hiroshima, Annalisa Panati +1
We consider the Nelson model on some static space-times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces i…
math-ph2009
Positive energy quantization of linear dynamics
Jan Derezinski, Christian Gérard
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into 3 stages: the description of a classical…
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…