This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrödinger operator theory.

Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrödinger operators, and scattering theory for Schrödinger operators.

The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrödinger operators.

This volume is a joint publication of the American Mathematical Society and the Sociedad Matemática Mexicana. Members of the SMM may order directly from the AMS at the AMS member price.

Readership

Graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrödinger operators.

Table of Contents

• A. M. Hinz -- Topics from spectral theory of differential operators
• J. Brasche -- Spectral theory for self-adjoint extensions
• I. Veselić -- Integrated density of states and Wegner estimates for random Schrödinger operators
• P. Kurasov -- Singular and supersingular perturbations: Hilbert space methods
• F. Bentosela -- Scattering and spectral properties of two surface models