# Magnetic sparseness and Schrödinger operators on graphs

#### Autoren: Michel Bonnefont, Sylvain Golénia, Matthias Keller, Shiping Liu, Florentin Münch (2020)

We study magnetic Schrödinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnetic-sparseness turns out to be equivalent to the fact that the form domain is an 2 space. As a consequence, we get criteria of discreteness for the spectrum and eigenvalue asymptotics.

Zeitschrift:
Annales Henri Poincaré volume
Seiten:
pages1489–1516
Band:
21

zur Übersicht der Publikationen