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Maximal scarring for eigenfunctions of quantum graphs
We prove the existence of scarred eigenstates for star graphs with scattering matrices at the central vertex which are either a Fourier transform matrix, or a matrix that prohibits back-scattering. We prove the existence of scars that are half-delocalised on a single bond. Moreover we show that the...
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| Main Authors: | , |
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| Format: | Default Article |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/34066 |
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