Resonance Scattering of Waves in Chaotic Systems

Abstract

This is a brief overview of RMT applications to quantum or wave chaotic resonance scattering, focusing mainly on theoretical results obtained via non-perturbative methods starting from mid-nineties.

22 pages, chapter for the Oxford Handbook of Random Matrix Theory (edited by G. Akemann, J. Baik, and P. Di Francesco)

Cited by in corpus (7)

• Singular value statistics of matrix products with truncated unitary matrices
• Generalization of Wigner Time Delay to Sub-Unitary Scattering Systems
• Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering
• Implementing Non-Universal Features with a Random Matrix Theory Approach: Application to Space-to-Configuration Multiplexing
• Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
• Matrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices
• Envelope and phase distribution of a resonance transmission through a complex environment