8 citations · 12 across the 6 of their papers we have counts for
13 papers
Quasi-classical Ground States. II. Standard Model of Non-relativistic QED
Sébastien Breteaux, Jérémy Faupin, Jimmy Payet
We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute…
Spectral decomposition of some non-self-adjoint operators
Jérémy Faupin, Nicolas Frantz
We consider non-self-adjoint operators in Hilbert spaces of the form , where is self-adjoint, is bounded and is a metric operator, bounded and relative…
Generic nature of asymptotic completeness in dissipative scattering theory
Jérémy Faupin
We review recent results obtained in the scattering theory of dissipative quantum systems representing the long-time evolution of a system interacting with another system …
On radial Schroedinger operators with a Coulomb potential: General boundary conditions
J. Derezinski, J. Faupin, Q. N. Nguyen +1
This paper presents the spectral analysis of 1-dimensional Schroedinger operator on the half-line whose potential is a linear combination of the Coulomb term 1/r and the centrifuga…
Hamiltonian models of interacting fermion fields in Quantum Field Theory
Benjamin Alvarez, Jérémy Faupin, Jean-Claude Guillot
We consider hamiltonian models representing an arbitrary number of spin fermion quantum fields interacting through arbitrary processes of creation or annihilation of particle…
Scattering Theory for Mathematical Models of the Weak Interaction
Benjamin Alvarez, Jérémy Faupin
We consider mathematical models of the weak decay of the vector bosons into leptons. The free quantum field hamiltonian is perturbed by an interaction term from the stand…