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- Centre National de la Recherche ScientifiqueFR575 papers
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- Laboratoire Interdisciplinaire Carnot de BourgogneFR265 papers
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8 papers · 1 filter
On the geometry of the characteristic class of a star product on a symplectic manifold
P. Bieliavsky, P. Bonneau
The characteristic class of a star product on a symplectic manifold appears as the class of a deformation of a given symplectic connection, as described by Fedosov. In contrast, on…
Atomic diffraction from nanostructured optical potentials
G. Leveque, C. Meier, R. Mathevet +4
We develop a versatile theoretical approach to the study of cold-atom diffractive scattering from light-field gratings by combining calculations of the optical near-field, generate…
Conjugacy problem for braid groups and Garside groups
Nuno Franco, Juan Gonzalez-Meneses
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not onl…
A note on the Lawrence-Krammer-Bigelow representation
Luisa Paoluzzi, Luis Paris
A very popular problem on braid groups has recently been solved by Bigelow and Krammer, namely, they have found a faithful linear representation for the braid group B_n. In their p…
On the topology of adiabatic passage
L. P. Yatsenko, S Guerin, H. R. Jauslin
We examine the topology of eigenenergy surfaces characterizing the population transfer processes based on adiabatic passage. We show that this topology is the essential feature for…
Determination of the threshold of the break-up of invariant tori in a class of three frequency Hamiltonian systems
C. Chandre, J. Laskar, G. Benfatto +1
We consider a class of Hamiltonians with three degrees of freedom that can be mapped into quasi-periodically driven pendulums. The purpose of this paper is to determine the thresho…