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Register a new userSemi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold
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Added by
Yves Colin de Verdiere
Publication date
2013
fields
Physics
and research's language is
English
Authors
Yves Colin De Verdi`ere
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In this paper, I describe the weak limits of the measures associated to the eigenfunctions of the Laplacian on a Quantum graph for a generic metric in terms of the Gauss map of the determinant manifold. I describe also all the limits with minimal support (the scars).
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We introduce quantum hypergraphs, in analogy with the theory of quantum graphs developed over the last 15 years by many authors. We emphasize some problems that arise when one tries to define a Laplacian on a hypergraph.
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