dorsal/arxiv
View SchemaExact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs
| Authors | R. Blümel, Y. Dabaghian, R. V. Jensen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110109 |
| URL | https://arxiv.org/abs/quant-ph/0110109 |
| DOI | 10.1103/PhysRevE.65.046222 |
Abstract
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of regular quantum graphs. One simple application is the energy levels of a particle in a piecewise constant potential. Since the classical ray trajectories (including ray splitting) in such systems are strongly chaotic, this result provides the first explicit quantization of a classically chaotic system.
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"abstract": "We present exact, explicit, convergent periodic-orbit expansions for\nindividual energy levels of regular quantum graphs. One simple application is\nthe energy levels of a particle in a piecewise constant potential. Since the\nclassical ray trajectories (including ray splitting) in such systems are\nstrongly chaotic, this result provides the first explicit quantization of a\nclassically chaotic system.",
"arxiv_id": "quant-ph/0110109",
"authors": [
"R. Bl\u00fcmel",
"Y. Dabaghian",
"R. V. Jensen"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevE.65.046222",
"title": "Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs",
"url": "https://arxiv.org/abs/quant-ph/0110109"
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