Syllabus
1. Formalism of second quantization Hamiltonian, One- and Two-electron operators
2. Wick theorem Normal product, Contractions of operators, Generalized Wick theorem, Vacuum mean values of operator products
3. Hartree-Fock method and its applications to atoms Shell model, Atomic integrals, Multipole expansion, Angular integrals: Wigner-Eckart theorem, Radial integrals: recursive relations
4. Particle-hole formalism Particle-hole operators, Normal product and contractions, Wick theorem, Normal product form of operators
5. Perturbation method Diagrammatic representation, Linked cluster theorem
6. Coupled-clusters (CC) method Diagrammatic representation, Spin-orbital form of CC equations
Annotation
The lecture provides an introduction to the use of quantum field theory methods in the quantum theory of many particles. Suitable for students who want to gain a deeper knowledge of the calculation of correlation energy in atoms and molecules.