Basic Syllabus
Topics covered are (subject to change):
- Canonical quantization, from classical to quantum manybody theory (for orientation)
- The Hilbert space of N identical fermions, Slater determinant bases
- Creation and annihilation operators, second quantized operators
- Wick's theorem and the generalized Wick's theorem
- Quasiparticles and normal ordering of operators
- The variatonal principle
- Configuration-interatcion theory (CI)
- Hartree--Fock theory (HF)
- Rayleigh--Schrödinger perturbation theory (RSPT) and many-body perturbation theory (MBPT), including Møller--Plesset perturbation theory (MPPT)
- The electron gas: Hartree--Fock and MBPT.
- Basis sets in physics and chemistry
- Coupled-cluster theory: basic formalism, working equations, diagrammatic representation.
Curriculum
- Lecture notes that covers most of the topics (link)
- "An Introduction to Coupled-Cluster Theory for Computational Chemists" by T. Daniel Crawford and Henry F. Schaefer II (link), pages 33--95.
Supporting material and suggested reading
- Gross, Runge and Heinonen: "Many-particle theory"
- Harris, Monkhorst and Freeman: "Algebraic and diagrammatic methods in many-fermion theory"
- Raimes: "Many-electron theory"
- Shavitt and Bartlett: "MBPT and coupled-cluster theory"
- Szabo and Ostlund: "Modern quantum chemistry"
- Helgaker, Jørgensen and Olsen: "Molecular Electronic-Structure Theory"
- Jon Magne Leinass: "Modern quantum mechanics", lecture notes for the course FYS4110 (link)
Several of these texts are out of print. Contact the lecturer for more information. All of the texts are good, and discuss the course material from different angles.