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Søndergaard N, Guhr T, Oxborrow M, et al. Counting function for a sphere of anisotropic quartz. Phys Rev E Stat Nonlin Soft Matter Phys. 2004;70(3):036206doi: 10.1103/PhysRevE.70.036206.
Søndergaard, N., Guhr, T., Oxborrow, M., Schaadt, K., & Ellegaard, C. (2004). Counting function for a sphere of anisotropic quartz. Physical review. E, Statistical, nonlinear, and soft matter physics, 70(3), 036206. https://doi.org/10.1103/PhysRevE.70.036206
Søndergaard, Niels, et al. "Counting function for a sphere of anisotropic quartz." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 70,3 (2004): 036206. doi: https://doi.org/10.1103/PhysRevE.70.036206
Søndergaard N, Guhr T, Oxborrow M, Schaadt K, Ellegaard C. Counting function for a sphere of anisotropic quartz. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3):036206. doi: 10.1103/PhysRevE.70.036206. Epub 2004 Sep 15. PMID: 15524611.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3):036206. doi: 10.1103/PhysRevE.70.036206. Epub 2004 Sep 15.

Counting function for a sphere of anisotropic quartz.

Physical review. E, Statistical, nonlinear, and soft matter physics

Niels Søndergaard, Thomas Guhr, Mark Oxborrow, Kristian Schaadt, Clive Ellegaard

Affiliations

  1. Matematisk Fysik, LTH, Lunds Universitet, Sweden. [email protected]

PMID: 15524611 DOI: 10.1103/PhysRevE.70.036206

Abstract

We calculate the leading Weyl term of the counting function for a monocrystalline 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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