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Lecture
Semi classical Approximation: Fixed Energy Propagator
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Fixed Energy Propagator: Van Vleck - Pauli Formula
Explores the fixed energy propagator and the Van Vleck - Pauli formula.
Quantum Eigenfunctions
Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Spectral Density: Semi-Classical Approach
Covers the semi-classical spectral density and barrier penetration examples.
Fixed Energy Propagator: Analytic Structure
Explores the fixed energy propagator's analytic structure and its application in free theory, emphasizing its key properties and computations.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Harmonic Oscillator: Algebraic Approach
Explores the classical harmonic oscillator and its algebraic approach to studying the system.
The Spectrum: Operators and Observables in Quantum Physics
Covers the concept of the spectrum in quantum physics, including invertibility, eigenvalues, and observables.
Quantum Mechanics Basics
Covers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.
Quantum Field Theory: Fermions and Grassmann Numbers
Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.
Many Body Perturbation: Theory and Equations
Covers Many-Body Perturbation Theory as a method to treat electron correlation effects.
