dorsal/arxiv
View SchemaExceptional points and double poles of the S matrix
| Authors | I. Rotter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211197 |
| URL | https://arxiv.org/abs/quant-ph/0211197 |
| DOI | 10.1103/PhysRevE.67.026204 |
Abstract
Exceptional points and double poles of the S matrix are both characterized by the coalescence of a pair of eigenvalues. In the first case, the coalescence causes a defect of the Hilbert space. In the second case, this is not so as shown in prevoius papers. Mathematically, the reason for this difference is the bi-orthogonality of the eigenfunctions of a non-Hermitian operator that is ignored in the first case. The consequences for the topological structure of the Hilbert space are studied and compared with existing experimental data.
{
"annotation_id": "01b00700-321a-4a82-9e71-9a62ff29b094",
"date_created": "2026-03-02T18:01:55.796000Z",
"date_modified": "2026-03-02T18:01:55.796000Z",
"file_hash": "843136fab0d515d88ddae68265637845221bc5b383b868f69f30eabde23c397e",
"private": false,
"record": {
"abstract": "Exceptional points and double poles of the S matrix are both characterized by\nthe coalescence of a pair of eigenvalues. In the first case, the coalescence\ncauses a defect of the Hilbert space. In the second case, this is not so as\nshown in prevoius papers. Mathematically, the reason for this difference is the\nbi-orthogonality of the eigenfunctions of a non-Hermitian operator that is\nignored in the first case. The consequences for the topological structure of\nthe Hilbert space are studied and compared with existing experimental data.",
"arxiv_id": "quant-ph/0211197",
"authors": [
"I. Rotter"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.67.026204",
"title": "Exceptional points and double poles of the S matrix",
"url": "https://arxiv.org/abs/quant-ph/0211197"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "82239667-9a7d-44c1-931a-f2a1b98b1106",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}