Lectures related to Configuration Interaction II: Slater-Condon Rules

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

Configuration Interaction II: Correlation Energy and CSF's

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

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.

Theoretical Foundations of DFT

Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.

Size Extensivity and Consistency in Quantum Chemistry

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

Linear Algebra: Matrices Properties

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Hartree-Fock: Approximation & Wavefunction

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

Topology of Riemann Surfaces

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

Pseudorandomness: Theory and Applications

Explores pseudorandomness theory, AI challenges, pseudo-random graphs, random walks, and matrix properties.

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Determinants and Properties

Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.

Hartree-Fock Method: Theory and Applications

Explores the Hartree-Fock method in quantum chemistry, emphasizing the variational principle and self-consistent solutions.

CI Continued/Many-Body Perturbation Theory

Explores Configuration Interaction methods, Slater determinants, exactness of full CI, matrix equations, Slater rules, challenges in full CI calculations, and Many-Body Perturbation Theory.

Linear Algebra: Matrices and Linear Applications

Covers matrices, linear applications, vector spaces, and bijective functions.

Matrix Operations: Definitions and Properties

Covers the definitions and properties of matrices, including matrix operations and determinants.

Quantum Physics I

Explores eigenvalues, ladder operations, and quantum number values in quantum physics.

Hartree-Fock Equations: Derivation and Solutions

Explains the derivation of Hartree-Fock equations and their solutions iteratively.

Computational Quantum Physics

Covers exact diagonalization methods for many-particle systems in quantum physics.

Analytical Geometry: Bisectors and Areas

Explores the properties of bisectors and areas in Analytical Geometry.