The invariant measure for scattering matrices with block symmetries
Publication
, Journal Article
Gopar, VA; Martínez, M; Mello, PA; Baranger, HU
Published in: Journal of Physics A: Mathematical and General
December 1, 1996
We find the invariant measure for two new types of S matrices relevant for chaotic scattering from a cavity in a waveguide. The S matrices considered can be written as a 2 × 2 matrix of blocks, each of rank N, in which the two diagonal blocks are identical and the two off-diagonal blocks are identical. The S matrices are unitary; in addition, they may be symmetric because of time-reversal symmetry. The invariant measure, with and without the condition of symmetry, is given explicitly in terms of the invariant measures for the well known circular unitary and orthogonal ensembles. Some implications are drawn for the resulting statistical distribution of the transmission coefficient through a chaotic cavity. © 1996 IOP Publishing Ltd.
Duke Scholars
Published In
Journal of Physics A: Mathematical and General
DOI
ISSN
0305-4470
Publication Date
December 1, 1996
Volume
29
Issue
4
Start / End Page
881 / 888
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
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Gopar, V. A., Martínez, M., Mello, P. A., & Baranger, H. U. (1996). The invariant measure for scattering matrices with block symmetries. Journal of Physics A: Mathematical and General, 29(4), 881–888. https://doi.org/10.1088/0305-4470/29/4/014
Gopar, V. A., M. Martínez, P. A. Mello, and H. U. Baranger. “The invariant measure for scattering matrices with block symmetries.” Journal of Physics A: Mathematical and General 29, no. 4 (December 1, 1996): 881–88. https://doi.org/10.1088/0305-4470/29/4/014.
Gopar VA, Martínez M, Mello PA, Baranger HU. The invariant measure for scattering matrices with block symmetries. Journal of Physics A: Mathematical and General. 1996 Dec 1;29(4):881–8.
Gopar, V. A., et al. “The invariant measure for scattering matrices with block symmetries.” Journal of Physics A: Mathematical and General, vol. 29, no. 4, Dec. 1996, pp. 881–88. Scopus, doi:10.1088/0305-4470/29/4/014.
Gopar VA, Martínez M, Mello PA, Baranger HU. The invariant measure for scattering matrices with block symmetries. Journal of Physics A: Mathematical and General. 1996 Dec 1;29(4):881–888.
Published In
Journal of Physics A: Mathematical and General
DOI
ISSN
0305-4470
Publication Date
December 1, 1996
Volume
29
Issue
4
Start / End Page
881 / 888
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences