Communications in Mathematical Physics

, Volume 84, Issue 3, pp 403–438

The rotation number for almost periodic potentials

  • R. Johnson
  • J. Moser
Article

DOI: 10.1007/BF01208484

Cite this article as:
Johnson, R. & Moser, J. Commun.Math. Phys. (1982) 84: 403. doi:10.1007/BF01208484

Abstract

We define and analyze the rotation number for the almost periodic Schrödinger operatorL= −d2/dx2+q(x). We use the rotation number to discuss (i) the spectrum ofL; (ii) its relation to the Korteweg-de Vries equation.

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • R. Johnson
    • 1
  • J. Moser
    • 2
  1. 1.Department of MathematicsUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.ETH-ZentrumZürichSwitzerland