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Condensed Matter Physics Seminar

Friday, May 14, 1999, 2 p.m.

Plant Sciences Building, Room 1130
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*Solution of the Hofstadter problem: Complex spectra of integrable systems*

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Paul Wiegmann

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(University of Chicago)

**Abstract:** I review a recent progress towards solution of the
so called almost Mathieu equation, known also as Harper's equation or Azbel-Hofstadter
problem. The spectrum of this equation is known to be a pure singular
continuum with a rich hierarchical structure. Few years ago it has
been found that the almost Mathieu operator is integrable. An asymptotic
solution of this operator became possible due analysis the Bethe Ansatz
equations.
**Host: **Victor Yakovenko

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