Eigenfunction expansion for Schrodinger operators on metric graphs
Mathematical Physics
2008-01-10 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0801.1376,
title = {Eigenfunction expansion for Schrodinger operators on metric graphs},
author = {Daniel Lenz and Carsten Schubert and Peter Stollmann},
journal= {arXiv preprint arXiv:0801.1376},
year = {2008}
}
Comments
11 pages, submitted to Jounal of Integral Equations and Operator Theory