Counting function for a sphere of anisotropic quartz

Details Counting function for a sphere of anisotropic quartz Counting function for a sphere of anisotropic quartz

2005-04-06

arxiv.org/abs/nlin/0504016v1

Phys. Rev. E 70, 036206 (2004)

Nonlinear Sciences

Chaotic Dynamics

16 pages, 11 figures

Scientific paper

10.1103/PhysRevE.70.036206

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.

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