dorsal/arxiv
View SchemaOne-dimensional quantum chaos: Explicitly solvable cases
| Authors | Yu. Dabaghian, R. V. Jensen, R. Blümel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108054 |
| URL | https://arxiv.org/abs/quant-ph/0108054 |
| DOI | 10.1134/1.1413563 |
| Journal | Pis'ma v ZhETF 74, 258-262 (2001) |
Abstract
We present quantum graphs with remarkably regular spectral characteristics. We call them {\it regular quantum graphs}. Although regular quantum graphs are strongly chaotic in the classical limit, their quantum spectra are explicitly solvable in terms of periodic orbits. We present analytical solutions for the spectrum of regular quantum graphs in the form of explicit and exact periodic orbit expansions for each individual energy level.
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"abstract": "We present quantum graphs with remarkably regular spectral characteristics.\nWe call them {\\it regular quantum graphs}. Although regular quantum graphs are\nstrongly chaotic in the classical limit, their quantum spectra are explicitly\nsolvable in terms of periodic orbits. We present analytical solutions for the\nspectrum of regular quantum graphs in the form of explicit and exact periodic\norbit expansions for each individual energy level.",
"arxiv_id": "quant-ph/0108054",
"authors": [
"Yu. Dabaghian",
"R. V. Jensen",
"R. Bl\u00fcmel"
],
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],
"doi": "10.1134/1.1413563",
"journal_ref": "Pis\u0027ma v ZhETF 74, 258-262 (2001)",
"title": "One-dimensional quantum chaos: Explicitly solvable cases",
"url": "https://arxiv.org/abs/quant-ph/0108054"
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