A garden of orchids: a generalized Harper equation at quadratic irrational frequencies

Mestel, B. D. and Osbaldestin, A. H. (2004). A garden of orchids: a generalized Harper equation at quadratic irrational frequencies. Journal of Physics A: Mathematical and General, 37(39) pp. 9071–9086.

DOI: https://doi.org/10.1088/0305-4470/37/39/002

Abstract

We consider a generalized Harper equation at quadratic irrational flux, showing, in the strong coupling limit, the fluctuations of the exponentially decaying eigenfunctions are governed by the dynamics of a renormalization operator on a renormalization strange set. This work generalizes previous analyses which have considered only the golden mean case. Projections of the renormalization strange sets are illustrated analogous to the 'orchid' present in the golden mean case.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI

About

• Item ORO ID
• 9550
• Item Type
• Journal Item
• ISSN
• 1751-8121
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2004 IOP Publishing Ltd
• Depositing User
• Benjamin Mestel