Quantum EigenfunctionsCovers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Eigenstate Thermalization HypothesisExplores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Quantum Mechanics BasicsCovers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.
Symmetry and Conservation LawsExplores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.
Sideband CoolingCovers sideband cooling in quantum optics, focusing on motional sidebands, Lamb-Dicke parameter, and cooling cycle.
Calcul de valeurs propresCovers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.
Computational Quantum PhysicsExplores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.
Quantum ChemistryCovers topics related to quantum chemistry, including observable operators and eigenvalues.