4 citations · 11 across the 26 of their papers we have counts for
28 papers
Asymptotic solutions: glancing trajectories, Lagrangian singularities, and Bessel cylinders
Ilya Bogaevskii, Michel Rouleux
We find a normal form for the simplest Lagrangian singularity appearing as the projection onto the space-energy of a solution to the Hamilton-Jacobi equation. Using this normal for…
Semiclassical Green functions and Lagrangian intersection. Applications to the propagation of Bessel beams in non-homogeneous media
Michel Rouleux
We study semi-classical asymptotics for problems with localized right-hand sides by considering a Hamiltonian positively homogeneous of degree on $T^*{\bf R}^n\se…
Generalized exchange operators for a system of spin-1 particles
Charlie Jeudy, Michel Rouleux
The irreps of SU(2) of dimension , i.e. operators acting on the space of identical particles with spin $…
The flux norm, Bohr-Sommerfeld Quantization Rules and the scattering problem for h DO's on the real line
Abdelwaheb Ifa, Michel Rouleux
We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D h-Pseudo-differential operator within the algebraic and microlocal framework of H…
Lagrangian intersections and glancing points: typical transitions of phase in semiclassical approximations
Ilya Bogaevskii, Michel Rouleux
Given a semiclassical distribution microlocalized on a Lagrangian manifold , , and a regular energy surface, we find asymptotic s…
Tunneling for a semi-classical magnetic Schrödinger operator with symmetries
Michel Rouleux
We are interested in decay estimates of the ground state (or the low energy eigenstates), outside the potential wells, for a semi-classical Magnetic Schrödinger operator with smoot…