dorsal/arxiv
View SchemaExplicitly solvable cases of one-dimensional quantum chaos
| Authors | R. Blümel, Yu. Dabaghian, R. V. Jensen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107092 |
| URL | https://arxiv.org/abs/quant-ph/0107092 |
| DOI | 10.1103/PhysRevLett.88.044101 |
Abstract
We identify a set of quantum graphs with unique and precisely defined spectral properties called {\it regular quantum graphs}. Although chaotic in their classical limit with positive topological entropy, regular quantum graphs are explicitly solvable. The proof is constructive: we present exact periodic orbit expansions for individual energy levels, thus obtaining an analytical solution for the spectrum of regular quantum graphs that is complete, explicit and exact.
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"abstract": "We identify a set of quantum graphs with unique and precisely defined\nspectral properties called {\\it regular quantum graphs}. Although chaotic in\ntheir classical limit with positive topological entropy, regular quantum graphs\nare explicitly solvable. The proof is constructive: we present exact periodic\norbit expansions for individual energy levels, thus obtaining an analytical\nsolution for the spectrum of regular quantum graphs that is complete, explicit\nand exact.",
"arxiv_id": "quant-ph/0107092",
"authors": [
"R. Bl\u00fcmel",
"Yu. Dabaghian",
"R. V. Jensen"
],
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"doi": "10.1103/PhysRevLett.88.044101",
"title": "Explicitly solvable cases of one-dimensional quantum chaos",
"url": "https://arxiv.org/abs/quant-ph/0107092"
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