Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

Explore the fascinating connections between landscape functions and eigenvectors of Schrödinger operators in this 44-minute lecture by Guy David. Delve into the prehistory of the topic, understand the concept of effective potential, and learn about energy computations. Examine the exponential decay of eigenfunctions through various illustrations, including matrix examples. Gain insights into bump functions with small support and their relevance to the subject matter. Enhance your understanding of mathematical physics and operator theory in this comprehensive talk from the Hausdorff Center for Mathematics.

Introduction
Prehistory
The effective potential It is the function
An energy computation
Exponential decay of eigenfunctions
Illustrations of exponential decay 1
Exponential decay for matrices 2
Illustration of exponential decay for matrices 1
More on bump function with a small support