Almost Mathieu operator: Difference between revisions

Revision as of 20:31, 13 August 2012

Revision as of 00:35, 10 September 2013

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== The spectral type ==

If <math>\alpha</math> is a [[rational number]], then <math>H^{\lambda,\alpha}_\omega</math>

is a periodic operator and by [[Floquet theory]] its [[spectrum (functional analysis)|spectrum]] is purely [[absolutely continuous]].

Now to the case when <math>\alpha</math> is [[Irrational number|irrational]].