Eigenfunction expansion for Schrodinger operators on metric graphs

Abstract

We construct an expansion in generalized eigenfunctions for Schrodinger operators on metric graphs. We require rather minimal assumptions concerning the graph structure and the boundary conditions at the vertices.

11 pages, submitted to Jounal of Integral Equations and Operator Theory

References in corpus (2)

• Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
• Anderson Localization for radial tree-like random quantum graphs

Cited by in corpus (6)

• Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
• Localization on quantum graphs with random edge lengths
• New relations between discrete and continuous transition operators on (metric) graphs
• Geometric properties of Dirichlet forms under order isomorphisms
• Sch'nol's Theorem For Strongly Local Forms
• Uniform existence of the integrated density of states on metric Cayley graphs