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Lecture
Path Integral: Fundamentals
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Lagrangian Formulation: Electrodynamics & Relativity
Covers the Lagrangian formulation of electrodynamics and relativistic particle mechanics.
Small Instantons and Axion Mass
Explores small instantons, axion mass, Strong CP problem, and extra dimensions.
Gaussian Path Integrals: Properties and Composition
Explores the path integral representation of the propagator and Gaussian integrals.
Path Integral and Gaussian Integrals
Covers the path integral representation of the propagator and Gaussian integrals in complex and multi-dimensional cases.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Quantum Field Theory: Fermions and Grassmann Numbers
Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.
Quantum Mechanics: Path Integral Formulation
Explores the path integral formulation in quantum mechanics and its physical interpretation.
Gauge Theories: Chiral Transformations and Path Integrals
Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.
Gelfand-Yaglom Formula: Path Integral and Harmonic Oscillator
Explores the Gelfand-Yaglom formula and path integral for harmonic oscillators.
Gaussian Path Integrals: Composition Property
Explores wave packet evolution, path integrals, and Gaussian composition properties in quantum mechanics.
