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arXiv · 1307.1213

Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs

Ognjen Milatovic·Francoise Truc
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Abstract

Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian associated to a unitary connection on this bundle and study the essential self-adjointness of a perturbation of this Laplacian by an operator-valued potential. Additionally, we give a sufficient condition for the resulting Schrödinger operator to serve as the generator of a strongly continuous contraction semigroup in the corresponding l^{p}-space.

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Ognjen Milatovic, Francoise Truc. 2014-12-05. Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs. https://arxiv.org/abs/1307.1213

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