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An index theorem for Schrodinger operators on metric graphs

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 نشر من قبل Selim Sukhtaiev
 تاريخ النشر 2018
  مجال البحث
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We show that the spectral flow of a one-parameter family of Schrodinger 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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