Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice

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4 Citations (Scopus)

Abstract

A magnetic transition operator on a crystal lattice is defined as a generalization of the Harper operator. Following the idea of J. Bellissard, we prove Lipschitz continuity of the band edges of its spectrum as magnetic field changes.

Original languageEnglish
Pages (from-to)323-342
Number of pages20
JournalJournal of Geometry and Physics
Volume47
Issue number2-3
DOIs
Publication statusPublished - 2003 Aug

Keywords

  • Crystal lattice
  • Group C-algebra
  • Magnetic transition operator
  • Weyl representation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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