Spectral Theory of Random Schrödinger Operators
Reinhard Lang
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Spectral Theory of Random Schrödinger Operators

A Genetic Introduction

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The interplay between the spectral theory of Schr dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideas instatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term"genetic" in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the history of thesubject, have been of major conceptual importance - on theone hand the Laplacian is a rando...