Numerical investigation of iso-spectral cavities built from triangles

Details Numerical investigation of iso-spectral cavities built from triangles Numerical investigation of iso-spectral cavities built from triangles

1994-08-17

arxiv.org/abs/solv-int/9408001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, revtex, 5 postscript figures

Scientific paper

10.1103/PhysRevE.51.703

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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