Quantum graph resonances by cut-off technique

We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.

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Publication Details

Journal
Reviews in Mathematical Physics
Published
2026-10-26
DOI
https://doi.org/10.1142/s0129055x26610052
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Quantum graph resonances by cut-off technique

Jan Pekař, Pavel Exner, Jiř̌í Lipovský
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Reviews in Mathematical Physics
Spectral Theory in Mathematical Physics
article

Quantum graph resonances by cut-off technique

Jan Pekař, Pavel Exner, Jiř̌í Lipovský
article en

Abstract

We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.

Reviews in Mathematical Physics
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Spectral Theory in Mathematical Physics
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Quantum graph resonances by cut-off technique — Jan Pekař, Pavel Exner, et al. · Reviews in Mathematical Physics (2026) | TGRS Research Map | TGRS