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Published in:
2020 | OriginalPaper | Chapter
On Gaussian random matrices coupled to the discrete Laplacian
Author : Rostyslav Kozhan
Published in: Analysis as a Tool in Mathematical Physics
Publisher: Springer International Publishing
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We study operators obtained by coupling an n×n random matrix from one of the Gaussian ensembles to the discrete Laplacian. We find the joint distribution of the eigenvalues and resonances of such operators. This is one of the possible mathematical models for quantum scattering in a complex physical system with one semi-infinite lead attached.