Explores the quantum effective action, its role in perturbation theory, and the organization of correlators in momentum space.
Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.
Covers the canonical ensemble and harmonic oscillators in statistical mechanics.
Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.
Explores quantum bound states, wave functions, energy levels, and potential energy in quantum systems.
Covers the basics of time-dependent perturbation theory and its applications in quantum systems.
Covers the computation of the instanton pre-factor and its applications in charged particle systems.
Covers the fundamentals of superconducting circuits and their applications in quantum optics, including Josephson junctions and Cooper pair boxes.
Explores spin as angular momentum, its operators, commutation relations, and eigenstates in quantum mechanics.
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.