dorsal/arxiv
View SchemaStatistical Properties of Quantum Graph Spectra
| Authors | Yu. Dabaghian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503220 |
| URL | https://arxiv.org/abs/quant-ph/0503220 |
Abstract
A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and approximate expressions obtained in \cite{Anima} for the probability distribution functions using the spectral hierarchy method are analyzed. In addition, the mechanism of appearance of the universal statistical properties of spectral fluctuations of quantum-chaotic systems is considered in terms of the semiclassical theory of periodic orbits.
{
"annotation_id": "66317ded-a196-4b09-8e4c-5db394c8c7d0",
"date_created": "2026-03-02T18:02:16.353000Z",
"date_modified": "2026-03-02T18:02:16.353000Z",
"file_hash": "b4f373950e5671d68048028ce1b69f890b2014b3e090233088a43f2db0d38ef1",
"private": false,
"record": {
"abstract": "A general analytical approach to the statistical description of quantum graph\nspectra based on the exact periodic orbit expansions of quantum levels is\ndiscussed. The exact and approximate expressions obtained in \\cite{Anima} for\nthe probability distribution functions using the spectral hierarchy method are\nanalyzed. In addition, the mechanism of appearance of the universal statistical\nproperties of spectral fluctuations of quantum-chaotic systems is considered in\nterms of the semiclassical theory of periodic orbits.",
"arxiv_id": "quant-ph/0503220",
"authors": [
"Yu. Dabaghian"
],
"categories": [
"quant-ph"
],
"title": "Statistical Properties of Quantum Graph Spectra",
"url": "https://arxiv.org/abs/quant-ph/0503220"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "32665a62-4b3e-43c7-8ac2-d5260ee0d58d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}