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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2019 · math-phShow all

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math-ph2019★ 12 cited

Spectrum of a non-selfadjoint quantum star graph

Gabriel Riviere, Julien Royer

We study the spectrum of a quantum star graph with a non-selfadjoint Robin condition at the central vertex. We first prove that, in the high frequency limit, the spectrum of the Ro…

math-ph2019★ 2 cited

Absence of embedded eigenvalues for translationally invariant magnetic Laplacians

Nicolas Raymond, Julien Royer

Translationnally invariant bidimensional magnetic Laplacians are considered. Using an improved version of the harmonic approximation, we establish the absence of point spectrum und…