International audienceMourre's commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle (LAP) from a so called Mourre estimate. We provide a new interpretation of this resul
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces se...
International audienceWe present recent results on the spectral theory for Hamiltonians of the weak ...
L’objet de cette thèse est l’étude spectrale et dynamique de systèmes de la mécanique quantique en u...
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption pri...
We apply weighted Mourre commutator theory to prove the limiting absorption principle for the discre...
AbstractWe give a proof in an abstract setting of various resolvent estimates including the limiting...
Dans cette thèse, nous nous intéressons à l’étude du spectre essentiel d’opérateurs de Schrödinger e...
International audienceWe prove uniform resolvent estimates for an abstract operator given by a dissi...
We establish a limiting absorption principle for some long range perturbations of the Dirac systems ...
We consider discrete Schrödinger operators on ${\mathbb{Z}}^d$ for which the perturbation consists o...
In this thesis, we are interested in the study of the essential spectrum of Schrödinger operators an...
In this thesis, we are interested in the study of the essential spectrum of Schrödinger operators an...
With the use of minimal escape velocity, we improve our previous result and show that the spectral m...
Spectral properties of a Schrödinger type operator on a cylinder is established by a version of Mour...
Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption princ...
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces se...
International audienceWe present recent results on the spectral theory for Hamiltonians of the weak ...
L’objet de cette thèse est l’étude spectrale et dynamique de systèmes de la mécanique quantique en u...
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption pri...
We apply weighted Mourre commutator theory to prove the limiting absorption principle for the discre...
AbstractWe give a proof in an abstract setting of various resolvent estimates including the limiting...
Dans cette thèse, nous nous intéressons à l’étude du spectre essentiel d’opérateurs de Schrödinger e...
International audienceWe prove uniform resolvent estimates for an abstract operator given by a dissi...
We establish a limiting absorption principle for some long range perturbations of the Dirac systems ...
We consider discrete Schrödinger operators on ${\mathbb{Z}}^d$ for which the perturbation consists o...
In this thesis, we are interested in the study of the essential spectrum of Schrödinger operators an...
In this thesis, we are interested in the study of the essential spectrum of Schrödinger operators an...
With the use of minimal escape velocity, we improve our previous result and show that the spectral m...
Spectral properties of a Schrödinger type operator on a cylinder is established by a version of Mour...
Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption princ...
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces se...
International audienceWe present recent results on the spectral theory for Hamiltonians of the weak ...
L’objet de cette thèse est l’étude spectrale et dynamique de systèmes de la mécanique quantique en u...