Lectures related to Theoretical Foundations of DFT

Configuration Interaction II: Correlation Energy and CSF's

Explores the calculation of correlation energy and CSF's in electronic structure calculations.

Covers the Hartree-Fock Roothaan Equations and different types of Hartree-Fock methods, discussing their performance.

Configuration Interaction II: Slater-Condon Rules

Covers the Slater-Condon rules for configuration interaction and determinants.

Explores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.

Moller-Plesset Perturbation Theory: Energy Corrections and Wavefunction Expansion

Delves into Moller-Plesset Perturbation Theory, discussing energy corrections and wavefunction expansion in quantum chemistry.

DFT: Thomas-Fermi model

Explores the Thomas-Fermi model in Density Functional Theory, discussing electron-electron interaction approximation and challenges in expressing kinetic energy.

Proof of Weyl's Theorem

Explores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.

Variational Principle: Quantum Physics II

Covers the variational principle in quantum physics for approximating energy levels.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Density Functional Theory

Covers the Density Functional Theory, including the Hartree-Fock method and the Kohn-Sham scheme.

Size Extensivity and Consistency in Quantum Chemistry

Explores size extensivity and consistency in quantum chemistry, post-Hartree-Fock methods, and perturbed wavefunction expansion.

Hartree-Fock: Approximation & Wavefunction

Explains the Hartree-Fock approximation method and the process of minimizing the energy expression to find the wavefunction.

Ground State Energy: Harmonic Oscillator and Perturbation

Covers the ground state and energy of harmonic oscillators and perturbations by bounded potentials.

Hydrogenic Atom Stability

Covers the proof of the Coulomb uncertainty principle and the stability of hydrogenic atoms.

Magnetic Induction

Explains magnetic induction, force on a dipole, torque, and applications in macroscopic systems.

Perturbation Theory and Variational Principle

Covers perturbation theory, variational principle, and systematic approaches to determining true energy levels.

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Two-Body Problem: Center of Mass and Forces

Discusses the two-body problem, center of mass, forces, and Newton's laws.

Cauchy Test and Generators

Explores Cauchy test, generators, and density in functional analysis.

Quantum Chemistry: Postulates and Harmonic Oscillator

Explores the historical perspective and postulates of quantum mechanics, focusing on the harmonic oscillator and approximation methods.