Covers quantum mechanics exercises on spatial interference and coupling between oscillators, emphasizing independent problem-solving and the implications of measurement in quantum systems.
Covers the derivation of Hartree-Fock equations, two-electron integrals, dynamical and static correlation, continuous basis functions, spin contamination, and the coupled cluster method.
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Explores enhancing machine learning predictions by refining error metrics and applying constraints for improved accuracy in electron density predictions.
Explores the link between linear algebra and wave mechanics, focusing on operators, self-adjoint nature, Brillouin Zone, and a probabilistic approach to diffusion.