Schrödinger Operators Defined by Interval Exchange Transformations

Details Schrödinger Operators Defined by Interval Exchange Transformations Schrödinger Operators Defined by Interval Exchange Transformations

2008-09-18

arxiv.org/abs/0809.3230v2

Journal of Modern Dynamics 3, number 2, 253-270 (2009)

Mathematics

Spectral Theory

Scientific paper

10.3934/jmd.2009.3.253

We discuss discrete one-dimensional Schr\"odinger operators whose potentials are generated by an invertible ergodic transformation of a compact metric space and a continuous real-valued sampling function. We pay particular attention to the case where the transformation is a minimal interval exchange transformation. Results about the spectrum and the spectral type of these operators are established. In particular, we provide the first examples of transformations for which the associated Schr\"odinger operators have purely singular spectrum for every non-constant continuous sampling function.

Affiliated with

Also associated with

No associations

Rating

Schrödinger Operators Defined by Interval Exchange Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Schrödinger Operators Defined by Interval Exchange Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schrödinger Operators Defined by Interval Exchange Transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-282086