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The semiclassical limit of eigenfunctions of the Schrödinger equation and the...
International audience -
Optimized and Quasi-Optimal Schwarz Waveform Relaxation for the One Dimension...
We design and study Schwarz Waveform relaxation algorithms for the linear Schrödinger equation with a potential in one dimension. We show that the overlapping... -
Is time quantized?
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Propagation of Gevrey regularity over long times for the fully discrete Lie T...
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On Dialectics of Physical Systems, Schrodinger Equation and Collapse of the W...
33 pages. English. This V3 is to be the final version. -
Time optimal control and low Reynolds number swimming
This thesis is divided in two parts. The main tool of this work is time optimal control. We first consider the Pontryagin maximum principle for control system of... -
Weakly-coupled systems in quantum control
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Maximum principle and bang-bang property of time optimal controls for Schrödi...
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Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile
35 pages; main theorems gathered in section 2; examples and counterexamples gathered in section 3; examples 3.1 and 3.4 added; example 3.3 extended to the case of smooth... -
Local controllability of a 1D Schrödinger equation
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Nonlinear estimation and control: application to some quantum and classical s...
This manuscript is divided into two main parts, associated with two quite different types of applications. In the first part, which includes the first two chapters, I... -
Spectral properties of Schrödinger operators on compact manifolds: rigidity, ...
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Optimal sensor location for wave and Schrödinger equations
International audience -
An infinite dimensional version of the Schur convexity property and applications
We extend to infinite dimensional separable Hilbert spaces the Schur convexity property of eigenvalues of a symmetric matrix with real entries. Our framework includes...
