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The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract ma

Since the seminal work of P. Anderson in 1958, localization in disordered systems has been the object of intense investigations. Mathematically speaking, the ph

This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics a

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantu

These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theor