## You are here

# Program of the lectures 2014

The detailed content of TALENT 2014 is:

- First week:
**Basic techniques of quantum many-body physics** - Monday - Reminder of advanced quantum mechanics: Coordinate and momentum, representations of the Hilbert space, discrete bases, operators, Schrödinger's equation, spin, isospin, Dirac's equation
- Tuesday - Second quantization: Fermions and bosons, Fock space, Wick's theorem, equivalence between representations
- Wednesday - Hartree-Fock (HF) theory: product states, density matrices, variational principle, Thouless' theorem, Koopman's theorem
- Thursday - Pairing correlations: Spontaneous symmetry breaking, BCS theory, pairing tensor, Hartree-Fock-Bogoliubov (HFB) theory
- Friday - Random Phase Approximation (RPA): Introduction to time-dependent Hartree-Fock (TDHF) theory, linear response, stability matrix
- Second week:
**Density functional theory for atoms and nuclei** - Monday - Nuclear forces: Invariance properties, meson exchange, basic notions of relativistic quantum field theory
- Tuesday - Phenomenological nuclear forces: Skyrme and Gogny forces, concept of energy density functional (EDF), relativistic EDFs, effective pseudopotentials, experimental constraints
- Wednesday - Density functional theory (DFT): Existence theorems, Kohn-Sham schemes, local density approximation, gradient exchanges, exchange-correlation, self-interaction
- Thursday - Realistic nuclear potentials: Introduction to chiral effective field theory, diagrammatic expansions, power counting
- Friday - Non-empirical functionals: Brüeckner theory, density matrix expansions, three-body forces
- Third week:
**Applications of nuclear DFT** - Monday - Symmetries: Spontaneous symmetry breaking, nuclear deformation, symmetry restoration, multi-reference DFT
- Tuesday - Nuclear collective motion: collective variables, residual interactions, configuration mixing
- Wednesday - Computational nuclear structure: DFT solver schemes, large-scale applications
- Thursday - Open questions in nuclear DFT: non-empirical functionals, inclusion of collective correlations, symmetries
- Friday - Course summary, discussions