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Lecture
Fixed Energy Propagator: Van Vleck - Pauli Formula
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Semi classical Approximation: Fixed Energy Propagator
Explores the semi classical approximation for the fixed energy propagator in quantum physics, emphasizing barrier penetration and saddle points.
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.
Reminders on two-level systems
Covers the basics of two-level systems, including states, operators, and the Bloch Sphere.
Harmonic Oscillator: Algebraic Approach
Explores the classical harmonic oscillator and its algebraic approach to studying the system.
Eigenstate Thermalization Hypothesis
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Quantum Mechanics Basics
Covers the basics of quantum mechanics, focusing on solving the non relativistic Schrodinger equation.
Sideband Cooling
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Non-linear dynamics: phenomenology, tools and methods
Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.