Diffusion of a quantum particle in time-dependent random potential

Formula (4) for the potential is quite natural: the oscil- lating phase in time corresponds to the energy difference between the initial and final state (2), (3), while the

In order to deal with this loss of regularity in the controllability of the linearized system around (Y θ,0,0 , u ≡ 0) , we use a Nash-Moser implicit function theorem stated in

We wish to make clear that our result, namely that Levinsons’ theorem is an index theorem, is quite different from a result encountered in supersymmetric quantum mechanics about

Dans notre étude l’impact du DTC sur la prise en charge des malades cérébrolésés en réanimation ressort clairement avec une modification thérapeutique chez 45% des

On the other hand, we show that if the potential is an isotropic harmonic potential with a time dependent frequency which decays sufficiently fast, then Sobolev norms are bounded,

The fundamental equations satisfied by the effective scattering amplitude t;(&) in the CPA for non-overlapping muffin-tin potential wells is simplified and a new

Les entreprises informelles sont alors le reflet d’une vie informelle (mariages traditionnels non déclarés, état civil, cadastre, etc.). C’est ce qui conduit à l’apport

The Minami estimate (H2) is known to hold at all energies under similar reg- ularity assumptions for the discrete Anderson model (see e.g. [28, 3, 13, 5]) and for the