Quantum unique ergodicity for magnetic Laplacians on T^2

Autor:	Morin, Léo, Rivière, Gabriel
Rok vydání:	2024
Předmět:	Mathematics - Spectral Theory Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Given a smooth integral two-form and a smooth potential on the flat torus of dimension 2, we study the high energy properties of the corresponding magnetic Schr\"odinger operator. Under a geometric condition on the magnetic field, we show that every sequence of high energy eigenfunctions satisfies the quantum unique ergodicity property even if the Liouville measure is not ergodic for the underlying classical flow (the Euclidean geodesic flow on the 2-torus).
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.18449 Zobrazit plný text záznamu View this record from Arxiv