## 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

NLM

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/10.1088/0305-4470/29/4/014Gopar, 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