Titre :

Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces

Auteur(s) :

Eswarathasan, Suresh [Auteur]
Institut des Hautes Études Scientifiques [IHES]
Riviere, Gabriel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Mot(s)-clé(s) en anglais :

semiclassical analysis
hyperbolic dynamical systems
quantum chaos

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Physique mathématique [math-ph]

Résumé en anglais : [en]

We consider the semiclassical Schrödinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at the quantum evolution (below the Ehrenfest ...
Lire la suite >We consider the semiclassical Schrödinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at the quantum evolution (below the Ehrenfest time) under small perturbations of the Schrödinger equation, and we prove that, in the semiclassical limit and for typical perturbations, the solutions become equidistributed on the unit cotangent bundle.Lire moins >

Langue :

Anglais

Commentaire :

48 pages. Compared with version 1, we consider slightly different families of perturbations in order to simplify the exposition.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T18:27:14Z