Discrete symmetries and spectral statistics
By: J.P. Keating, J.M. Robbins.
Contributors: Robbins, J. M.; Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-28.; BRIMS technical report -- HPL-BRIMS-96-28.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Subjects: Spectral theory (Mathematics); Quantum chaos; Random matrices
Description: Abstract: "We calculate the 2-point spectral statistics associated with a given irreducible representation (i.e. symmetry class) for time-reversal invariant systems possessing discrete symmetries using semiclassical periodic orbit theory. When the representation in question is real or pseudoreal, our results conform to those of the Gaussian Orthogonal Ensemble (GOE) of random matrices. When it is complex, we find instead Gaussian Unitary Ensemble (GUE) behaviour. This provides a direct semiclassical explanation for the recent observation by Leyvraz et al (1996) of GUE correlations in the desymmetrized spectra of certain symmetric billiards in the absence of any time-reversal invariance breaking (e.g. magnetic) fields."
Notes: Cover title.

"December, 1996."

Includes bibliographical references.