Semi-classical PropagatorExplores the semi-classical propagator and perturbative analysis of decoupled systems, focusing on classical motion dynamics.
Quantum EigenfunctionsCovers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Quantum Physics IExplores eigenvalues, ladder operations, and quantum number values in quantum physics.
Computational Quantum PhysicsIntroduces Variational Monte Carlo methods for discrete and continuous systems, including Jastrow states and Markov-chain Monte Carlo algorithms.
Computational Quantum PhysicsExplores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.
Quantum Physics ICovers state vectors, Dirac notation, inner product, eigenvectors, and operators in quantum physics.
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.