Eigenfunction expansion for Schrodinger operators on metric graphs

Details Eigenfunction expansion for Schrodinger operators on metric graphs Eigenfunction expansion for Schrodinger operators on metric graphs

2008-01-09

arxiv.org/abs/0801.1376v1

Physics

Mathematical Physics

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

Scientific paper

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.

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