Numerical investigation of iso-spectral cavities built from triangles
solv-int
2009-10-28 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9408001,
title = {Numerical investigation of iso-spectral cavities built from triangles},
author = {Hua Wu and D. W. L. Sprung and J. Martorell},
journal= {arXiv preprint arXiv:solv-int/9408001},
year = {2009}
}
Comments
15 pages, revtex, 5 postscript figures