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Counting function for a sphere of anisotropic quartz

Søndergaard, Niels LU ; Guhr, Thomas LU ; Oxborrow, M ; Schaadt, K and Ellegaard, C (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.
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author
; ; ; and
organization
publishing date
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}},
}