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Numerical investigation of iso-spectral cavities built from triangles

Hua Wu·D. W. L. Sprung·J. Martorell
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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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Hua Wu, D. W. L. Sprung, J. Martorell. 1994-08-17. Numerical investigation of iso-spectral cavities built from triangles. https://doi.org/10.1103/physreve.51.703

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