Approximate Methods in Quantum Chemistry

Solving the Schrödinger equation for complex molecular systems is mathematically impossible without approximations. This text-based course guides you through the core mathematical frameworks that allow chemists to model and predict molecular behavior with high accuracy. You will start with foundational quantum mechanics principles before moving into the practical approximations used in modern computational chemistry. By the end of this course, you will understand how to choose, evaluate, and apply different approximation methods to solve multi-electron problems. What you'll learn: Understand the mathematical foundations of the Variation Method and Perturbation Theory; Apply the Hartree-Fock self-consistent field method to multi-electron atoms; Analyze molecular orbital theory through linear combinations of atomic orbitals; Explore modern density functional theory (DFT) concepts used in current research; Evaluate the limitations and accuracy of different approximation techniques. The course begins with essential quantum definitions and basic postulates, then systematically builds up to advanced variational and perturbation calculations. This course is designed for undergraduate chemistry students, beginning researchers, and anyone looking to build a strong theoretical foundation in computational chemistry without needing advanced prerequisites. Begin your journey into molecular modeling today.