Skip to main content
SpringerLink
Log in

Spectral Theory of Random Schrödinger Operators

A Genetic Introduction

  • Conference proceedings
  • © 1991

Overview

Authors:
  1. Reinhard Lang
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1498)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Introduction

    • Reinhard Lang
    Pages 1-5

  3. Two simple examples

    • Reinhard Lang
    Pages 6-18

  4. The general heuristic picture

    • Reinhard Lang
    Pages 19-29

  5. Some known results and open problems

    • Reinhard Lang
    Pages 30-42

  6. Explanation of Theorem 1 and introduction to an extended Boltzmann theory of entropy

    • Reinhard Lang
    Pages 43-70

  7. Explanation of Theorem 2 and introduction to an extended Floquet-Weyl theory

    • Reinhard Lang
    Pages 71-112

  8. Conclusion

    • Reinhard Lang
    Pages 113-118

  9. Back Matter

    Pages 119-125
    Download chapter PDF
Back to top

Keywords

About this book

The interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. The term "genetic" in the title refers to this proceedure. The author concentrates on 2 topics which, in the history of the subject, have been of major conceptual importance - on the one hand the Laplacian is a random medium and the left end of its spectrum (leading to large deviation problems for Brownian motion and the link to thenotion of entropy) and on the other, Schr|dinger operators with general ergodic potentials in one-dimensional space. Ideas and concepts are explained in the simplest, possible setting and by means of a few characteristic problems with heuristic arguments preceding rigorous proofs.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation