The following lecture notes correspond to a course taught for several years, first at the
University of Paris-Nord (France) and then at the University of Bologna (Italy). They are …

In relation with the Born-Oppenheimer approximation, we study the scattering operator S
associated to a 2 x 2 semiclassical matricial Schrôdinger operator, near a non-trapping …

Let H 0 be a self-adjoint operator in some Hilbert space H, and let λ 0 be a (possibly
degenerate) eigenvalue of H 0 embedded in its essential spectrum σ ess (H 0) with …

This paper adapts the techniques of exponential weighted phase space estimates as
studied in Refs. 1–4 to a case where there is no analyticity, but regularity in the sense of …

Résumé Le point de départ est un exposéa Nantes donné en Janvier 2003, donnéa
l'occasion du lancement de la numérisation des actes du colloque annuel de “Saint-Jean de …

The adiabatic theorem in quantum mechanics can be understood as an e ect of phase
space tunneling 12]. This allows us to use microlocal methods from the theory of pseudo di …

Untitled Page 1 Page 2 Universitext Editorial Board (North America): S. Axler FW Gehring KA
Ribet Springer Science+Business Media, LLC Page 3 Universitext Editors (North America): S …