Inner and outer continuity of the spectra for families of magnetic operators on Z d

Serge Richard (1)

1 PSPM - Probabilités, statistique, physique mathématique

In this note we consider magnetic self-adjoint operators on Z^d whose symbols and magnetic fields depend on a parameter. Sufficient conditions are imposed such that the spectrum of these operators varies continuously with respect to. The emphasize is put on a construction which is independent of any particular choice of the magnetic potentials.

Mots clés: spectrum; twisted crossed product algebra; Discrete operators; magnetic field

Domaines: Physique mathématique [math-ph]

Serge Richard. Inner and outer continuity of the spectra for families of magnetic operators on Z d. RIMS Workshop Spectral and Scattering Theory and Related Topics, Jan 2016, Kyoto, Japan. ⟨hal-02024956⟩