98 citations
- Laboratoire de Mathématiques Blaise PascalFR10 papers
- Laboratoire de Mathématiques Jean LerayFR3 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
- École PolytechniqueFR2 papers
- Institut de Mathématiques de BordeauxFR1 paper
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Laboratoire de Statistique Théorique et AppliquéeFR1 paper
- Sorbonne UniversitéFR1 paper
- Université de Reims Champagne-ArdenneFR1 paper
4 papers · 1 filter
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…
A simple extension of Stollmann's lemma to correlated potentials
Victor Tchoulaevski
We propose a fairly simple and natural extension of Stollmann's lemma to correlated random variables. This extension allows (just as the original Stollmann's lemma does) to obtain…
Anderson localisation for an interacting two-particle quantum system on
Victor Chulaevsky, Yuri Suhov
We study spectral properties of a system of two quantum particles on an integer lattice with a bounded short-range two-body interaction, in an external random potential field $V(x,…
A mathematical model for the Fermi weak interactions
Laurent Amour, Benoit Grebert, Jean-Claude Guillot
We consider a mathematical model of the Fermi theory of weak interactions as patterned according to the well-known current-current coupling of quantum electrodynamics. We focuss on…