dorsal/arxiv
View SchemaSpectra of regular quantum graphs
| Authors | Yu. Dabaghian, R. V. Jensen, R. Blümel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112098 |
| URL | https://arxiv.org/abs/quant-ph/0112098 |
| DOI | 10.1134/1.1493174 |
Abstract
We consider a class of simple quasi one-dimensional classically non-integrable systems which capture the essence of the periodic orbit structure of general hyperbolic nonintegrable dynamical systems. Their behavior is simple enough to allow a detailed investigation of both classical and quantum regimes. Despite their classical chaoticity, these systems exhibit a ``nonintegrable analog'' of the Einstein-Brillouin-Keller quantization formula which provides their spectra explicitly, state by state, by means of convergent periodic orbit expansions.
{
"annotation_id": "a4f4c2f3-8181-4faf-8260-eb883be936e6",
"date_created": "2026-03-02T18:01:48.337000Z",
"date_modified": "2026-03-02T18:01:48.337000Z",
"file_hash": "b6b7fb43e1768a8144534a714a8c8c51e8b864046685428912045d369813ed5a",
"private": false,
"record": {
"abstract": "We consider a class of simple quasi one-dimensional classically\nnon-integrable systems which capture the essence of the periodic orbit\nstructure of general hyperbolic nonintegrable dynamical systems. Their behavior\nis simple enough to allow a detailed investigation of both classical and\nquantum regimes. Despite their classical chaoticity, these systems exhibit a\n``nonintegrable analog\u0027\u0027 of the Einstein-Brillouin-Keller quantization formula\nwhich provides their spectra explicitly, state by state, by means of convergent\nperiodic orbit expansions.",
"arxiv_id": "quant-ph/0112098",
"authors": [
"Yu. Dabaghian",
"R. V. Jensen",
"R. Bl\u00fcmel"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.1493174",
"title": "Spectra of regular quantum graphs",
"url": "https://arxiv.org/abs/quant-ph/0112098"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6336a1d8-ba55-41f4-b9c2-d2f57aed7fc7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}