dorsal/arxiv
View SchemaSolution of scaling quantum networks
| Authors | Yu. Dabaghian, R. Blümel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302035 |
| URL | https://arxiv.org/abs/quant-ph/0302035 |
| DOI | 10.1134/1.1591985 |
Abstract
We show that all scaling quantum graphs are explicitly integrable, i.e. any one of their spectral eigenvalues $E_n$ is computable analytically, explicitly, and individually for any given $n$. This is surprising, since quantum graphs are excellent models of quantum chaos [see, e.g., T. Kottos and H. Schanz, Physica E {\bf 9}, 523 (2001)].
{
"annotation_id": "611574a1-c434-434e-9449-cf931b220eab",
"date_created": "2026-03-02T18:01:56.682000Z",
"date_modified": "2026-03-02T18:01:56.682000Z",
"file_hash": "26676c98308ce2c6ef068519a00b221c717dbf45ce633cf404c4d139b99c7c58",
"private": false,
"record": {
"abstract": "We show that all scaling quantum graphs are explicitly integrable, i.e. any\none of their spectral eigenvalues $E_n$ is computable analytically, explicitly,\nand individually for any given $n$. This is surprising, since quantum graphs\nare excellent models of quantum chaos [see, e.g., T. Kottos and H. Schanz,\nPhysica E {\\bf 9}, 523 (2001)].",
"arxiv_id": "quant-ph/0302035",
"authors": [
"Yu. Dabaghian",
"R. Bl\u00fcmel"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.1591985",
"title": "Solution of scaling quantum networks",
"url": "https://arxiv.org/abs/quant-ph/0302035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e3997438-e9d1-4a75-96d4-8ef8cc8d0e73",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}