|
СЕМИНАРЫ |
Динамические системы и уравнения с частными производными
|
|||
|
Growth of Sobolev norms for unbounded perturbations of the Laplacian on flat tori (towards a quantum Nekhoroshev theorem) D. Bambusi Dipartimento di Fisica, Università degli Studi di Milano, Milano |
|||
Аннотация: I will present a study of the time dependent Schrödinger equation $$ -i\psi_t=-\Delta\psi+{\cal V}(t,x,-i\nabla)\psi $$ on a flat Previous results of this kind were limited either to the case of bounded perturbations of the Laplacian or to quantization of systems with a trivial geometry of the resonances, lik harmonic oscillators or 1-d systems. In this seminar I will present the result and the main ideas of the proof. This is a joint work with Beatrice Langella and Riccardo Montalto. Язык доклада: английский Website: https://mi-ras-ru.zoom.us/j/98541889798?pwd=SGdnT2lPWCtrbzNjOHQyb09NS0dXdz09 |