At present the only comprehensive approach to the structure of nuclei is provided by the energy density functional (EDF) framework. Nuclear EDFs present the most complete and accurate description of groundstate properties and collective excitations over the whole nuclide chart, from relatively light systems to superheavy nuclei, and from the valley of stability to the nucleon drip lines [5]. In practical implementations the nuclear EDF framework is analogous to KohnSham density functional theory (DFT), the most widely used method for electronic structure calculations in condensed matter physics and quantum chemistry. The advantages of using EDFs in the description of structure phenomena are evident already at the basic level of implementation  the selfconsistent meanfield method: an intuitive interpretation of meanfield results in terms of intrinsic shapes and singleparticle states, calculations are performed in the full model space of occupied states (no distinction between core and valence nucleons, no need for effective charges), and the universality of EDFs that enables their applications to all nuclei throughout the periodic chart. Nuclear EDFs effectively map the manybody problem onto a onebody problem, and the exact EDF is approximated by functionals of powers and gradients of groundstate nucleon densities and currents, representing distributions of matter, spins, momentum and kinetic energy. An important objective is the development of a series (ladder) of accurate and controlled approximation for the exchangecorrelation terms of the energy density functional. The principal objectives of the course are i) the introduction of basic concepts and methods of the nuclear manybody problem with an emphasis on the density functional theory, ii) the introduction of the most recent developments in the field of the nuclear manybody problem, iii) development of the computational skills, iv) development of the communication skills necessary to present research results to the scientific community.
Course content:
1) Basic methods of the nuclear manybody problem: second quantization, HartreeFock approximation, pairing correlations, BCS and HartreeFockBogoliubov models, random phase approximation, restoration of broken symmetries;
2) Nuclear energy density functional theory: effective interactions, realistic nuclear potentials, effective pseudopotentials, nonempirical nuclear energy density functionals;
3) Application: structure of atomic nucleus (ground state, collective excitations, restoration of broken symmetries), available computer codes and their application in realistic calculations;

 J.P. Blaizot, G. Ripka, Quantum Theory of Finite Sytems, The MIT Press (1985).
 A. L. Fetter and J.D. Walecka, Quantum Theory of ManyParticle Systems, Dover (2003).
 Peter Ring, Peter Schuck, The Nuclear ManyBody Problem, Springer (2005).
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