Electronic structure theory.
The quantum-mechanical foundation of materials and chemistry — from the many-body Schrödinger equation through Hartree-Fock, density functional theory, and post-DFT methods. Concept-first with worked numerical examples.
Many-body fundamentals
The many-body Hamiltonian, Born-Oppenheimer approximation, Slater determinants and antisymmetry — a careful review of the assumptions every method inherits.
Density functional theory
Hohenberg-Kohn theorems, Kohn-Sham equations, exchange- correlation functionals (LDA → GGA → meta-GGA → hybrids), and practical pseudopotential / PAW workflows.
Wavefunction methods
Hartree-Fock, MP2, configuration interaction, coupled cluster — knowing when chemical accuracy actually matters and what it costs.
Beyond ground state
TDDFT, Bethe-Salpeter, GW. A bridge into the ultra-fast dynamics thematic.