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Atomic Structure: Hydrogen Spectrum and Quantum Mechanics
Explores hydrogen spectrum, quantum models, and Heisenberg's uncertainty principle.
Ground State Energy: Harmonic Oscillator and Perturbation
Covers the ground state and energy of harmonic oscillators and perturbations by bounded potentials.
Proof of Weyl's Theorem
Explores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.
Quantum Physics I: Time Evolution of Oscillator
Covers the time evolution of an oscillator in quantum physics.
Quantum Optics I: Quantized Harmonic Oscillator
Covers the quantization of the harmonic oscillator and its implications on the electromagnetic field, including vacuum energy effects.
Feynman Diagrams: Anharmonic Oscillator
Explores Feynman diagrams for the anharmonic oscillator, covering thermal partition functions, Euclidean propagators, and correlation functions.
Replica computation and machine learning
Explores replica computation, algorithmic energy minimization, and their connection to machine learning concepts.
Correlation Functions in Quantum Field Theory
Explores correlation functions in QFT, Wick theorem, perturbation theory, and thermal free energy.
Machine-learned force fields for molecular simulation
Explores machine-learned force fields for accurate molecular simulations and the solution of the electronic Schrödinger equation.
Replica and Symmetry Breaking
Explores the Nobel Prize-winning discovery of replica and cavity methods in complex systems, focusing on the random energy model and the application of probability theory.