Sch'nol's Theorem For Strongly Local Forms

Abstract

We prove a variant of Sch'nol's theorem in a general setting: for generators of strongly local Dirichlet forms perturbed by measures. As an application, we discuss quantum graphs with $\delta$- or Kirchhoff boundary conditions.

18 pages

References in corpus (3)

• Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
• Eigenfunction expansion for Schrodinger operators on metric graphs
• Anderson Localization for radial tree-like random quantum graphs

Cited by in corpus (1)

• Localization on quantum graphs with random edge lengths