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Quantum graph resonances by cut-off technique

Quantum Physics 2026-01-26 v1 Mathematical Physics math.MP Spectral Theory

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.

Keywords

Cite

@article{arxiv.2601.16545,
  title  = {Quantum graph resonances by cut-off technique},
  author = {Pavel Exner and Jiří Lipovský and Jan Pekař},
  journal= {arXiv preprint arXiv:2601.16545},
  year   = {2026}
}

Comments

eleven pages, six figures

R2 v1 2026-07-01T09:16:59.013Z