| Introduction 1 Getting Started 1.1 Bound states versus extended states 1.2 Ergodic operator families 1.3 Some important examples 1.4 Our basic models (P+A) and (DIV) 1.5 Localization and Lifshitz tails: the heuristic picture 2 Analysis of Anderson-type Models 2.1 Lifshitz tails for (P+A) 2.2 Initial length scale estimates 2.3 Wegner estimates 2.4 Combes-Thomas estimates 2.5 Changing cubes 3 Mutiscale Analysis 3.1 Idea of the proof and historical notes 3.2 Multiscale Analysis 3.3 Exponential localization 3.4 Dynamical localization 3.5 More models 4 Appendix 4.1 A short story of selfadjoint operators 4.1.1 Welcome to Hilbert space 4.1.2 Selfdjoint operators and forms 4.1.3 Schrodinger operators 4.1.4 Spectra and the Spectral Theorem 4.1.5 Spectral Types and the RAGE theorem 4.1.6 Sectorial forms and form-bounded perturbations 4,1.7 The rain-max principle 4,1.8 Weyl asymptotics 4.1.9 Auxiliary results from Sobolev space 4.1.10 Analytic perturbation theory 4.1.11 Generalized eigenfunction expansions 4.2 Some basics from probability theory 4.2.1 Measurable sets and random variables 4.2.2 Measure and probability 4.2.3 Independence 4.2.4 Product measures 4.2.5 Ergodicity 4.2.6 Monotone class arguments 5 Aftermath References Author Index Subject Index |
内容加载中，请稍后...
商品评论（0条）