Long-Time Dynamics of the Perturbed Schrödinger Equation on Negatively Curved Surfaces

We consider perturbations of the semiclassical Schrödinger equation on a compact Riemannian surface with constant negative curvature and without boundary. We show that, for scales of times which are logarithmic in the size of the perturbation, the solutions associated to initial data in a small spec...

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Veröffentlicht in:	Annales Henri Poincaré 2016-08, Vol.17 (8), p.1955-1999
1. Verfasser:	Rivière, Gabriel
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Mathematical and Computational Physics Mathematical Methods in Physics Perturbation Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Riemann surfaces Schrodinger equation Theoretical
Online-Zugang:	Volltext
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