This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once theseâ€¦ (More)

Three iterative domain decomposition methods are considered: simultaneous updates on all subdomains (Additive Schwarz Method), ow directed sweeps and double sweeps. By using some techniques of formalâ€¦ (More)

Contrary to the finite dimensional case, Weyl and Wick quantizations are no more asymptotically equivalent in the infinite dimensional bosonic second quantization. Moreover neither the Weyl calculusâ€¦ (More)

We consider the N-body SchrÃ¶dinger dynamics of bosons in th e mean field limit with a bounded pair-interaction potential. According to the prev ious work [AmNi], the mean field limit is translatedâ€¦ (More)

In this article we propose a rapid method to compute the stead y st tes, including bifurcation diagrams, of resonant tunneling heterostructures in the far fr om equilibrium regime. Those calculationsâ€¦ (More)

In this article, we study the short-and long-range perturbations of periodic Schrr odinger operators. The asymptotic completeness is proved in the short-range case by referring to known results onâ€¦ (More)

In this paper, we study the convergence of domain decomposition methods for the solving of advection-diiusion equations (Br ? h divCr)(u) = f; (0.1) where B is a given vector eld (B x > 0), h is theâ€¦ (More)

We consider the dispersion properties in Lp spaces of SchrÃ¶dinger hamiltonians with a large number of obstacles modelled by rank one perturbations. We obtain both for the dispersion an Strichartzâ€¦ (More)

Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for global quasimodes inâ€¦ (More)