Related Experiment Video
Updated: Aug 3, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
Published on: June 3, 2010
Spectral statistics of chaotic systems with a pointlike scatterer
1Laboratoire de Physique Theorique et Modeles Statistiques, Universite de Paris-Sud, Batiment 100, 91405 Orsay Cedex, France.
Abstract:
The statistical properties of a Hamiltonian H0 perturbed by a localized scatterer are considered. We prove that if H0 describes a bounded chaotic motion, the universal part of the spectral statistics is not changed by the perturbation. This is done first within the random matrix model. Then it is shown by semiclassical techniques that the result is due to a cancellation between diagonal diffractive and off-diagonal periodic-diffractive contributions. The compensation is a very general phenomenon encoding the semiclassical content of the optical theorem.
Related Concept Videos
The de Broglie Wavelength
Entropy
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
First Law: Particles in One-dimensional Equilibrium
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about the...
Random Error

