XXXVI Memorial Rubio de Francia

Lunes, 20 de mayo de 2024

11:30 h., Módulo 17 - Aula 520 (Depto. Matemáticas UAM)

ONLINE - URL: https://youtube.com/live/ bSJArWeBoA

Eugenia Malinnikova
Stanford University

On phase-space localization of eigenfunctions of Schrödinger operators

Resumen:
We consider the eigenfunctions of the Schrödinger operator with growing potential
on the Euclidean space. To localize the eigenfunctions on the phase
space, we construct a decomposition of the phase space into rectangles and
show that each eigenfunction has some non-trivial mass concentrated near
the corresponding energy shell. This is an ongoing joint project with Stefano
Decio, Jaume De Dios Pont, and Svetlana Mayboroda.

ICMAT CSIC-UAM-UC3M-UCM
Departamento de Matemáticas. U.A.M.