Counting function for a sphere of anisotropic quartz
(2004) In Physical Review E 70(3).- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/266154
- author
- Søndergaard, Niels LU ; Guhr, Thomas LU ; Oxborrow, M ; Schaadt, K and Ellegaard, C
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 70
- issue
- 3
- publisher
- American Physical Society
- external identifiers
-
- wos:000224302300047
- scopus:42749103460
- pmid:15524611
- ISSN
- 1063-651X
- DOI
- 10.1103/PhysRevE.70.036206
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 6a23f063-9188-46e7-9ffb-cf792ac18052 (old id 266154)
- date added to LUP
- 2016-04-01 16:28:20
- date last changed
- 2022-01-28 19:55:59
@article{6a23f063-9188-46e7-9ffb-cf792ac18052, 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.}}, author = {{Søndergaard, Niels and Guhr, Thomas and Oxborrow, M and Schaadt, K and Ellegaard, C}}, issn = {{1063-651X}}, language = {{eng}}, number = {{3}}, publisher = {{American Physical Society}}, series = {{Physical Review E}}, title = {{Counting function for a sphere of anisotropic quartz}}, url = {{http://dx.doi.org/10.1103/PhysRevE.70.036206}}, doi = {{10.1103/PhysRevE.70.036206}}, volume = {{70}}, year = {{2004}}, }