From classical to semiclassical non-trapping behaviour: a new proof
Texte intégral
Documents relatifs
Keywords: Schr¨ odinger operators, Coulomb singularities, regularization, semiclassical resolvent estimates, resonances, semiclassical measure.. ∗ IRMAR & IRISA - Universit´ e
Using a new quantization scheme, we construct approximate semi- classical Bergman projections on weighted L 2 spaces with analytic weights, and show that their kernel functions admit
Keywords: Schr¨ odinger matrix operators, eigenvalues crossing, semiclassical resol- vent estimates, semiclassical Mourre method, global escape function..
This yields a polarization that is proportional to scattering angle 0, when the central potential is imaginary.. While the experimental data often shows a smoothly
The purpose of this paper is to relate classical Liouville theory to Liouville conformal field theory (also called quantum Liouville theory) through a semiclassical analysis..
We recall that the estimates of scalar pseudo-differential calculus carry over to the L(H 0 )- valued case except the commutator estimate which holds only when the principal
We give a simple proof of a result of Martinez on resonance free domains for semiclasssical Schr¨odinger operators. I. 1 which uses only elementary pseudodiffer-
Under some invariance condition on the matricial structure of the potential near the eigenvalues crossing and some structure condition at infinity, we prove that the boundary values