Counting function for a sphere of anisotropic quartz
Chaotic Dynamics
2009-11-11 v1
Abstract
We calculate the leading Weyl term of the counting function for a mono-crystalline quartz sphere. In contrast to other studies of counting functions, the anisotropy of quartz is a crucial element in our investigation. Hence, we do not obtain a simple analytical form, but we carry out a numerical evaluation. To this end we employ the Radon transform representation of the Green's function. We compare our result to a previously measured unique data set of several tens of thousands of resonances.
Cite
@article{arxiv.nlin/0504016,
title = {Counting function for a sphere of anisotropic quartz},
author = {N. Sondergaard and T. Guhr and M. Oxborrow and K. Schaadt and C. Ellegaard},
journal= {arXiv preprint arXiv:nlin/0504016},
year = {2009}
}
Comments
16 pages, 11 figures