Quantum Signatures of Chaos

This lecture explores the quantum signatures of chaos, focusing on the level spacing distributions in various systems. Starting with the observation of linear and quadratic level repulsion, it delves into the experimental evidence from nuclear, atomic, and molecular spectroscopy, highlighting the kinship of quantum and wave chaos. The lecture discusses the separation of levels into subsets to uncover spectral correlations and the significance of symmetry in revealing level repulsion. It also addresses the challenges in observing quadratic level repulsion in nuclei and normal-size atoms, emphasizing the potential in systems with specific symmetries and magnetic fields.