Continuity of the spectra for families of magnetic operators on Z^d

Autor:	Parra, D., Richard, S.
Rok vydání:	2015
Předmět:	Mathematical Physics Mathematics - Spectral Theory
Zdroj:	Anal. Math. Phys. 6 (2016), 327 - 343
Druh dokumentu:	Working Paper
DOI:	10.1007/s13324-015-0121-5
Popis:	For families of magnetic self-adjoint operators on ${\mathbb Z}^d$ whose symbols and magnetic fields depend continuously on a parameter $\epsilon$, it is shown that the main spectral properties of these operators also vary continuously with respect to $\epsilon$. The proof is based on an algebraic setting involving twisted crossed product C*-algebras. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.04894 Zobrazit plný text záznamu View this record from Arxiv