4 papers · 1 filter
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…
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…
The semi-classical Maupertuis-Jacobi correspondence: stable and unstable spectra
Sergey Dobrokhotov, Michel Rouleux
We investigate semi-classical properties of Maupertuis-Jacobi correspondence for families of 2-D Hamiltonians , when is the perturbat…