trace formula and spectral statistics
Subtitle: beyond the diagonal approximation
By: J.P. Keating, E.B. Bogomolny.
Contributors: Bogomolny, E. B.; Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-14.; BRIMS technical report -- HPL-BRIMS-96-14.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Number of pages: 11
Subjects: Random matrices; Quantum chaos
Description: Abstract: "We calculate the 2-point spectral correlation function for classically chaotic systems in the semiclassical limit using Gutzwiller's trace formula. The off-diagonal contributions from pairs of non-identical periodic orbits are evaluated by relating them to the diagonal terms. The behaviour we find is similar to that recently discovered to hold for disordered systems using non-perturbative supersymmetric methods. Our analysis generalizes immediately to include parametric statistics, higher-order correlations, and to the study of the semiclassical distribution of matrix elements."
Notes: Cover title.

"April, 1996."

Includes bibliographical references.

Supported in part by the Institute Henri Poincaré.