3 papers
math-ph2021
On semi-classical spectral series for an atom in a periodic polarized electric field
Abdelwaheb Ifa, Hanen Louati, Michel Rouleux
In this report we present preliminary results about the tunneling problem for a magnetic Schrödinger operator. As a motivation we consider the 3-D time-dependent Schrödinger operat…
math.AP2019
Semi-classical quantum maps of semi-hyperbolic type
Hanen Louati, Michel Rouleux
Let M = R n or possibly a Riemannian, non compact manifold. We consider semi-excited resonances for a h-differential operator H(x, hD x ; h) on L 2 (M) induced by a non-degenerate…
math-ph2016
Semi-classical resonances associated with a periodic orbit of hyperbolic type
Hanen Louati, Michel Rouleux
We consider in this Note resonances for a -Pseudo-Differential Operator on induced by a periodic orbit of hyperbolic type, as arises for Schrödinger opera…