# AN INDEX THEOREM FOR SCHRÖDINGER OPERATORS ON METRIC GRAPHS

@inproceedings{ranB2018ANIT, title={AN INDEX THEOREM FOR SCHRÖDINGER OPERATORS ON METRIC GRAPHS}, author={ran−B}, year={2018} }

We show that the spectral flow of a one-parameter family of Schrödinger operators on a metric graph is equal to the Maslov index of a path of Lagrangian subspaces describing the vertex conditions. In addition, we derive an Hadamard-type formula for the derivatives of the eigenvalue curves via the Maslov crossing form.

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