In this paper, we determine the wave front sets of solutions to the Schrödinger equations of a
free particle and of a harmonic oscillator by using the representation of the Schrödinger …

We consider in this work, the microlocal propagation of analytic singu-larities for the
solutions of the Schrödinger equation with variable coefficients. We introduce, following R …

We consider a “dispersive” evolution equation in a Hilbert space and prove abstract
smoothing effects “in an incoming region” under a Mourre-type condition “near infinity.” For …

We consider Schrödinger equations with variable coefficients and the harmonic potential.
We suppose the perturbation is short-range type in the sense of. We characterize the wave …

Diese Dissertation ist dem Studium temperierter Distributionen mittels mikrolokaler
Methoden gewidmet. Die fundamentale Größe der mikrolokalen Analysis, die …

Let H denote the harmonic oscillator Hamiltonian on R^ d, R d, perturbed by an isotropic
pseudodifferential operator of order 1. We consider the Schrödinger propagator U (t)= e^-itH …

We study the asymptotic behaviour of the eigenvalue counting function for self-adjoint elliptic
linear operators defined through classical weighted symbols of order (1, 1), on an …

The purpose of this talk is to study propagation of microlocal singularities of solutions to the
Schrodinger equations with magnetic vector or electric scalar potential. The Hamiltonian …

Let $ X $ be a compact Riemannian manifold with conic singularities, ie a Riemannian
manifold whose metric has a conic degeneracy at the boundary. Let $\Delta $ be the …

Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields
| Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …