Theoretical aspects of nuclear physics

• Overview of modern many-body methods in nuclear structure (no-core shell model, large-scale shell-model, coupled-cluster, density matrix functional).

• Fock space for fermions (Hamiltonian of many-fermion system, basis of many-body states, 2nd quantization representation).

• Wick’s theorem (for mean values, for Slater determinants and in Fock space for fermions).

• Bogoliubov transformation.

• Product states (Thouless theorem, particle-hole states).

• Hartree-Fock approximation (HF equations, self-consistent method, self-consistent symmetries, density matrix functional).

• Many-body wave functions in m-scheme and J-scheme (conserved quantum numbers, example of 2-particle configurations, general form of 1 and 2-body matrix elements).

• Effective Hamiltonians for shell-model calculations (OBE potentials, N3LO, renormalization methods, MBPT, phenomenology of effective Hamiltonians, monopole and multipole Hamiltonian, 3N forces).