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An eigenfunction of the Laplacian on a metric (quantum) graph has an excess number of zeros due to the graph's non-trivial topology. This number, called the nodal surplus, is an integer between 0 and the graph's first Betti number $\beta$. We study t
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The Neumann points of an eigenfunction f on a quantum (metric) graph are the interior zeros of $$f'$$ . The Neumann domains of f are the sub-graphs bounded by the Neumann points. Neumann points and Neumann domains are the counterparts of the well-stu
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56a219d3f37c2fa99717379303777bc6
It has been suggested that the distribution of the suitably normalized number of zeros of Laplacian eigenfunctions contains information about the geometry of the underlying domain. We study this distribution (more precisely, the distribution of the "
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c69e20f6a775d11ea7d7fa5c81bb1d37
Publikováno v:
Conference on Lasers and Electro-Optics.
We find the Cerenkov radiation emitted from charged particles carrying OAM in a cylindrical waveguide. The spectrum contains sharp resonances correlated to the particle's OAM, offering a novel spectroscopy method for OAM of charged particles.
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https://explore.openaire.eu/search/publication?articleId=doi_________::e2ad1fbda9bc08476ea85e632a9ce728
https://doi.org/10.1364/cleo_qels.2016.ftu3a.5
https://doi.org/10.1364/cleo_qels.2016.ftu3a.5
