34 citations · 172 across the 29 of their papers we have counts for
24 papers · 1 filter
Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard
We consider dissipative Schroedinger operators of the form on , with a complex, bounded and decaying potential with a non-positive imaginary pa…
On Lieb-Robinson bounds for the Bose-Hubbard model
Jérémy Faupin, Marius Lemm, Israel Michael Sigal
We consider the dynamics of the Bose-Hubbard model on general lattices and prove a Lieb-Robinson bound for observables whose supports are separated by an initially almost particle-…
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…
One-Boson Scattering Processes in the massive Spin-Boson Model
Miguel Ballesteros, Dirk-André Deckert, Jérémy Faupin +1
The Spin-Boson model describes a two-level quantum system that interacts with a second-quantized boson scalar field. Recently the relation between the integral kernel of the scatte…
Asymptotic completeness in dissipative scattering theory
Jérémy Faupin, Jürg Fröhlich
We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form , where is self-adjoint and…
Local Decay for Weak Interactions with Massless Particles
Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot
We consider a mathematical model for the weak decay of the intermediate boson into neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state…
Scattering theory for Lindblad master equations
Marco Falconi, Jérémy Faupin, Jürg Fröhlich +1
We study scattering theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking…
Spectral Analysis of a Model for Quantum Friction
Stephan De Bièvre, Jérémy Faupin, Baptiste Schubnel
An otherwise free classical particle moving through an extended spatially homogeneous medium with which it may exchange energy and momentum will undergo a frictional drag force in…
On the probabilistic nature of quantum mechanics and the notion of closed systems
Jérémy Faupin, Jürg Fröhlich, Baptiste Schubnel
The notion of "closed systems" in Quantum Mechanics is discussed. For this purpose, we study two models of a quantum-mechanical system spatially far separated from the "rest of…
Spectral Theory near Thresholds for Weak Interactions with Massive Particles
Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot
We consider a Hamiltonian describing the weak decay of the massive vector boson Z0 into electrons and positrons. We show that the spectrum of the Hamiltonian is composed of a uniqu…
Quantum Electrodynamics of Atomic Resonances
Miguel Ballesteros, Jérémy Faupin, Jürg Fröhlich +1
A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass , finitely many excited states and an electric dipole momen…
Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field
Jérémy Faupin, Juerg Froehlich, Baptiste Schubnel
We study a neutral atom with a non-vanishing electric dipole moment coupled to the quantized electromagnetic field. For a sufficiently small dipole moment and small momentum, the o…
On Rayleigh scattering in non-relativistic quantum electrodynamics
Jeremy Faupin, Israel Michael Sigal
In this note we provide details of the proofs of the main results of our paper [19] to the standard model of non-relativistic quantum electrodynamics in which particles are minimal…
Comment on the photon number bound and Rayleigh scattering
Jeremy Faupin, Israel Michael Sigal
We discuss photon number bounds for a system of non-relativistic particles coupled to the quantized electromagnetic field (non-relativistic QED), below the ionization threshold. Su…
On quantum Huygens principle and Rayleigh scattering
Jeremy Faupin, Israel Michael Sigal
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of thes…
Effective dynamics of an electron coupled to an external potential in non-relativistic QED
Volker Bach, Thomas Chen, Jeremy Faupin +2
In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass i…
Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state
Laurent Amour, Jérémy Faupin
We consider a free hydrogen atom composed of a spin-1/2 nucleus and a spin-1/2 electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associat…
Maximal velocity of photons in non-relativistic QED
Jean-Francois Bony, Jérémy Faupin, Israel Michael Sigal
We consider the problem of propagation of photons in the quantum theory of non-relativistic matter coupled to electromagnetic radiation, which is, presently, the only consistent qu…
Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II
Walter H. Aschbacher, Jean-Marie Barbaroux, Jérémy Faupin +1
We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W+/-. Using Mourre theory, it is shown that the spectrum between the unique ground st…
Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED
Jean-Francois Bony, Jérémy Faupin
We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of…
On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field
Laurent Amour, Jérémy Faupin, Benoit Grebert +1
We consider a non-relativistic electron interacting with a classical magnetic field pointing along the -axis and with a quantized electromagnetic field. The system is translat…