دانلود کتاب Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions

Exploring various aspects of quantum chaos, Anantharaman begins with a historical introduction, then focuses on the delocalization of eigenfunctions of Schrödinger operators for chaotic Hamiltonian systems. She also includes a short introduction to microlocal analysis necessary for proving the Shnirelman theorem, and presents her own work on the entropy of eigenfunctions on negatively curved manifolds and on quantum ergodicity of eigenfunctions on large graphs. She concludes with a survey of results on eigenfunctions on a round sphere, and a rather detailed exposition of the result by Backhousz and Szegedy on the Gaussian distribution of eigenfunctions on random regular graphs. Like the lecture series it is based on, the book is for mathematicians from the graduate level upward. Distributed in the US by the American Mathematical Society. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)