4 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
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…
Bohr-Sommerfeld quantization rules revisited: the method of positive commutators
Abdelwaheb Ifa, Hanen Louati, Michel Rouleux
We revisit the well known Bohr-Sommerfeld quantization rule (BS) for a 1-D Pseudo-differential self-adjoint Hamiltonian within the algebraic and microlocal framework of Helffer and…
Semi-classical quantization rules for a periodic orbit of hyperbolic type
Hanen Louati, Michel Rouleux
Determination of periodic orbits for a Hamiltonian system together with their semi-classical quantization has been a long standing problem. We consider here resonances for a -Ps…
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…
Hyperbolic Hamiltonian flows and the semi-classical Poincaré map
H. Fadhlaoui, H. Louati, M. Rouleux
We consider semi-excited resonances created by a periodic orbit of hyperbolic type for Schrödinger type operators with a small "Planck constant". They are defined within an analyti…