Published September 15, 1996
| public
Journal Article
The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials
- Creators
- Simon, Barry
- Zhu, Yunfeng
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.
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.Additional details
- Eprint ID
- 80014
- Resolver ID
- CaltechAUTHORS:20170809-105308934
- DMS-9401491
- NSF
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2017-08-09Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field