Schedule

Lecturers: Scott Bogner, Peter Ring, Nicolas Schunck, Dario Vretenar

Week 1, Week 2, Week 3

• 09:00-10:30 Lectures
• 10:30-11:00 Coffee
• 11:00-12:30 Lectures
• 12:30-14:00 Lunch
• 14:00-18:00 Computational Project/Exercises

• Welcome/Introductory Remarks
• Dario Vretenar 1: Reminder of advanced quantum mechanics: Coordinate and momentum representations of the Hilbert space, discrete bases, operators, Schrodinger equation, spin, isospin, Dirac equation
• Computational Projects: Requirements for the computational projects, crash courses on Makefile and the git version control system.
• talentdftguides.pdf: More information on Git, Unit tests, Object Orientation, and MPI/OpenMP

• Scott Bogner 1: In this lecture I review some basic concepts and tools of many-body theory (symmetrization postulate for N-body states, Fock space and second quantization, Wick's theorem, particle-hole picture). The treatment I give is standard, and may be found in any of the textbooks in the References.
• Reminder on angular momentum algebra

• Scott Bogner 2: Hartree-Fock (HF) theory: product states, density matrices, variational principle, Thouless theorem, Koopman's theorem

• Peter Ring 1: Pairing Correlations: Spontaneous symmetry breaking, seniority model, BCS approximation, pairing tensor, Hartree-Fock-Bogoliubov (HFB) theory

• Peter Ring 2: Random Phase Approximation (RPA): Time-dependent Hartree-Fock (TDHF) theory, linear response, stability matrix