The spectral theory of Schrödinger operators, particularly those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of selfadjoint operators. Concise unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrödinger operators with either fixed or random potentials. However, given the large gap that this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.

In my opinion, the basic idea of the monograph is to help graduate students working on spectral theory and beginning researchers in the field to build a toolkit. The book definitely has more than enough material for this purpose, some of which is quite advanced, and it is very up to date. ... In conclusion, I believe that this book will prove extremely useful for its target audience (advanced graduate students with an interest in this area). Moreover, it will also very much feel at home on the bookshelf of an expert.(MATHEMATICAL REVIEWS)

Inhalt
Measures and Transforms.- Selfadjointness and Spectrum.- Criteria for Identifying the Spectrum.- Operators of Interest.- Applications.