dorsal/arxiv
View SchemaNumerical investigation of iso-spectral cavities built from triangles
| Authors | Hua Wu, D. W. L. Sprung, J. Martorell |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9408001 |
| URL | https://arxiv.org/abs/solv-int/9408001 |
| DOI | 10.1103/PhysRevE.51.703 |
Abstract
We present computational approaches as alternatives to the recent microwave cavity experiment by S. Sridhar and A. Kudrolli (Phys. Rev. Lett. {\bf 72}, 2175 (1994)) on iso-spectral cavities built from triangles. A straightforward proof of iso-spectrality is given based on the mode matching method. Our results show that the experiment is accurate to 0.3% for the first 25 states. The level statistics resemble those of GOE when the integrable part of the spectrum is removed.
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"abstract": "We present computational approaches as alternatives to the recent microwave\ncavity experiment by S. Sridhar and A. Kudrolli (Phys. Rev. Lett. {\\bf 72},\n2175 (1994)) on iso-spectral cavities built from triangles. A straightforward\nproof of iso-spectrality is given based on the mode matching method. Our\nresults show that the experiment is accurate to 0.3% for the first 25 states.\nThe level statistics resemble those of GOE when the integrable part of the\nspectrum is removed.",
"arxiv_id": "solv-int/9408001",
"authors": [
"Hua Wu",
"D. W. L. Sprung",
"J. Martorell"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.51.703",
"title": "Numerical investigation of iso-spectral cavities built from triangles",
"url": "https://arxiv.org/abs/solv-int/9408001"
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