CaltechAUTHORS
  A Caltech Library Service

The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials

Simon, Barry and Zhu, Yunfeng (1996) The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials. Journal of Functional Analysis, 140 (2). pp. 541-556. ISSN 0022-1236. https://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934

Abstract

By studying the integrated density of states, we prove the existence of Lyapunov exponents and the Thouless formula for the Schrödinger operator –d^2/dx^2+cos x^ν with 0<ν<1 on L^2[0, ∞). This yields an explicit formula for these Lyapunov exponents. By applying rank one perturbation theory, we also obtain some spectral consequences.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1006/jfan.1996.0117DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022123696901172PublisherArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:© 1996 Academic Press. Received 14 August 1995, Accepted 2 November 1995. This material is based upon work supported by the National Science Foundation under Grant DMS-9401491. The Government has certain rights in this material.
Funders:
Funding AgencyGrant Number
NSFDMS-9401491
Issue or Number:2
Record Number:CaltechAUTHORS:20170809-105308934
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934
Official Citation:Barry Simon, Yunfeng Zhu, The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials, Journal of Functional Analysis, Volume 140, Issue 2, 15 September 1996, Pages 541-556, ISSN 0022-1236, https://doi.org/10.1006/jfan.1996.0117. (http://www.sciencedirect.com/science/article/pii/S0022123696901172)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80014
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Aug 2017 17:58
Last Modified:03 Oct 2019 18:26

Repository Staff Only: item control page