Quantum Signatures of Chaos

• Main Authors: Haake, Fritz (Author, http://id.loc.gov/vocabulary/relators/aut), Gnutzmann, Sven (http://id.loc.gov/vocabulary/relators/aut), Kuś, Marek (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 4th ed. 2018.
• Series: Springer Series in Synergetics,
• Subjects: Quantum physics.; Statistical physics.; Physics.; Quantum Physics.; Applications of Nonlinear Dynamics and Chaos Theory.; Statistical Physics and Dynamical Systems.; Mathematical Methods in Physics.

This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos. For this long-awaited fourth edition, the original text has been thoroughly modernized. The topics include a brief introduction to classical Hamiltonian chaos, a detailed explorat...

Table of Contents:

• Introduction
• Time Reversal and Unitary Symmetries
• Level Repulsion
• Level Clustering
• Random-Matrix Theory
• Supersymmetry and Sigma Model for Random Matrices
• Ballistic Sigma Model for Individual Unitary Maps and Graphs
• Quantum Localization
• Classical Hamiltonian Chaos
• Semiclassical Roles for Classical Orbits
• Level Dynamics
• Dissipative Systems. .