Skip to search
Skip to main content
Catalog
Help
Feedback
Your Account
Library Account
Bookmarks
(
0
)
Search History
Search in
Keyword
Title (keyword)
Author (keyword)
Subject (keyword)
Title starts with
Subject (browse)
Author (browse)
Author (sorted by title)
Call number (browse)
search for
Search
Advanced Search
Bookmarks
(
0
)
Princeton University Library Catalog
Start over
Cite
Send
to
SMS
Email
EndNote
RefWorks
RIS
Printer
Bookmark
Spectral Theory of Random Schrödinger Operators [electronic resource] : A Genetic Introduction / by Reinhard Lang.
Author
Lang, Reinhard
[Browse]
Format
Book
Language
English
Εdition
1st ed. 1991.
Published/Created
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
Description
1 online resource (X, 126 p.)
Availability
Available Online
Springer Nature - Springer Lecture Notes in Mathematics eBooks
SpringerLink Books Lecture Notes In Mathematics Archive
Online Content
Details
Subject(s)
Probabilities
[Browse]
Mathematical physics
[Browse]
Series
Lecture Notes in Mathematics, 1498
[More in this series]
Lecture Notes in Mathematics, 1617-9692 ; 1498
[More in this series]
Summary note
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.
Notes
Bibliographic Level Mode of Issuance: Monograph
Language note
English
Contents
Two simple examples
The general heuristic picture
Some known results and open problems
Explanation of Theorem 1 and introduction to an extended Boltzmann theory of entropy
Explanation of Theorem 2 and introduction to an extended Floquet-Weyl theory
Conclusion.
Show 3 more Contents items
ISBN
3-540-46627-4
OCLC
1066198996
Doi
10.1007/BFb0093929
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
Read more...
Other views
Staff view
Ask a Question
Suggest a Correction
Report Harmful Language
Supplementary Information
Other versions
Spectral theory of random Schrödinger operators : a genectic introduction / Reinhard Lang.
id
997767183506421
Spectral theory of random Schrödinger operators : a genetic introduction / Reinhard Lang.
id
SCSB-8526371