English

On the smoothness of gap boundaries for generalized Harper operators

Mathematical Physics 2007-05-23 v2 math.MP Spectral Theory

Abstract

Results concerning set theoretic continuity properties of the spectrum of the Harper operator are extended to a large class (generalized Harper operators (GHO)) of operators in L2(\bZ2)L^{2}(\bZ^{2}).

Keywords

Cite

@article{arxiv.math-ph/0309009,
  title  = {On the smoothness of gap boundaries for generalized Harper operators},
  author = {Gheorghe Nenciu},
  journal= {arXiv preprint arXiv:math-ph/0309009},
  year   = {2007}
}

Comments

19 pages, typos corrected

R2 v1 2026-07-22T16:23:18.543Z