Introduction to Quantum Chaos

This lecture introduces the concepts of Quantum Chaos and Black Holes, covering topics such as classical chaos, sensitivity to initial conditions, ergodicity, Lyapunov exponents, quantum chaos, semi-classical methods, random matrix theory, thermalization, and scrambling. The lecture explores the bound on chaos, information paradox, randomness, and wormholes. It also delves into the logistic map, discrete time dynamics, and the exponential sensitivity to initial conditions. The presentation progresses to discuss the stability of fixed points, bifurcation diagrams, and the period doubling cascade, providing insights into the onset of chaos and the Feigenbaum constant.