224 citations
- Centre National de la Recherche ScientifiqueFR376 papers
- Université Grenoble AlpesFR309 papers
- Université Joseph FourierFR201 papers
- Laboratoire de Mathématiques d'OrsayFR42 papers
- Pôle de recherche et d'enseignement supérieur Université de GrenobleFR37 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR31 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Université Paris-SudFR24 papers
- Institut Camille JordanFR19 papers
- Laboratoire de Physique et Modélisation des Milieux CondensésFR19 papers
- Sorbonne UniversitéFR19 papers
- Université Toulouse III - Paul SabatierFR17 papers
4 papers · 2 filters
Recent Results on Non--Adiabatic Transitions in Quantum Mechanics
George A. Hagedorn, Alain Joye
We review mathematical results concerning exponentially small corrections to adiabatic approximations and Born--Oppenheimer approximations.
Asymptotics of repeated interaction quantum systems
Laurent Bruneau, Alain Joye, Marco Merkli
A quantum system $\s$ interacts in a successive way with elements $\ee$ of a chain of identical independent quantum subsystems. Each interaction lasts for a duration and is gov…
Localization for Random Unitary Operators
Eman Hamza, Alain Joye, Gunter Stolz
We consider unitary analogs of dimensional Anderson models on defined by the product where is a deterministic unitary and is a diagonal matrix of…
On the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator
Magali Marx
In this paper, I consider one-dimensional periodic Schr{ö}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the e…