How Lagrangian States Evolve into Random Waves

Explore a seminar on spectral geometry that delves into the evolution of Lagrangian states into random waves. Discover how Maxime Ingremau from the Université de Nice Sophia-Antipolis addresses Berry's 1977 conjecture about eigenfunctions of the Laplacian on negatively curved manifolds. Learn about a simplified approach to this complex problem, focusing on Lagrangian states with generic phases evolving under the Schrödinger equation. Gain insights into the semiclassical limit behavior of these functions and their resemblance to random superpositions of plane waves. Understand the implications of this research for quantum chaos and its connections to work conducted with Alejandro Rivera and Martin Vogel.

Maxime Ingremau: How Lagrangian states evolve into random waves