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
Showing 2003 · math-phShow all
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math-ph2003★ 32 cited
Time Development of Exponentially Small Non-Adiabatic Transitions
George A. Hagedorn, Alain Joye
Optimal truncations of asymptotic expansions are known to yield approximations to adiabatic quantum evolutions that are accurate up to exponentially small errors. In this paper, we…
math-ph2003★ 29 cited
Density of States and Thouless Formula for Random Unitary Band Matrices
Alain Joye
We study the density of states measure for some class of random unitary band matrices and prove a Thouless formula relating it to the associated Lyapunov exponent. This class of ra…