Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Positive lyapunov exponent and minimality for the continuous 1-d quasi-periodic Schrodinger equation with two basic frequencies
2007 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 8, no 4, 687-730 p.Article in journal (Refereed) Published
Abstract [en]

We consider the time-independent quasi-periodic Schrodinger equation [GRAPHICS] with a potential function V : T-2 -> R of class C-2 with a unique non-degenerate global minimum, large coupling constants K-2 and energies E in the bottom of the spectrum of the associated Schrodinger operator. We obtain estimates on the Lyapunov exponents and the Lebesgue measure of the spectrum, as well as localization results. Moreover, we show that the projective flow on T-2 x P-1 induced by the Schrodinger equation often is minimal.

Place, publisher, year, edition, pages
2007. Vol. 8, no 4, 687-730 p.
Keyword [en]
operators, potentials
Identifiers
URN: urn:nbn:se:kth:diva-16806ISI: 000248120800002OAI: oai:DiVA.org:kth-16806DiVA: diva2:334849
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Bjerklöv, Kristian
In the same journal
Annales de l'Institute Henri Poincare. Physique theorique

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 16 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf