Systems of Multiple Particles and Hartree-Fock Method

This lecture covers the system of multiple particles, bosons, and fermions, focusing on the Hartree-Fock method as an approximation technique to solve complex quantum problems. The instructor explains the concept of determinants of Slater and the symmetries of fermions, emphasizing the importance of variation methods in quantum mechanics. The lecture delves into the mathematical formalism of the Hartree-Fock method, illustrating how it is applied to systems with interactions between particles. The instructor demonstrates the derivation of the energy functional and the constraints imposed to ensure the orthogonality of wave functions. The lecture concludes by discussing the challenges of solving problems with multiple particles and the approximations involved in finding solutions.