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Program of the lectures 2014

The detailed content of TALENT 2014 is:

  1. First week: Basic techniques of quantum many-body physics
    1. 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
    2. Tuesday - Second quantization: Fermions and bosons, Fock space, Wick's theorem, equivalence between representations
    3. Wednesday - Hartree-Fock (HF) theory: product states, density matrices, variational principle, Thouless' theorem, Koopman's theorem
    4. Thursday - Pairing correlations: Spontaneous symmetry breaking, BCS theory, pairing tensor, Hartree-Fock-Bogoliubov (HFB) theory
    5. Friday - Random Phase Approximation (RPA): Introduction to time-dependent Hartree-Fock (TDHF) theory, linear response, stability matrix
  2. Second week: Density functional theory for atoms and nuclei
    1. Monday - Nuclear forces: Invariance properties, meson exchange, basic notions of relativistic quantum field theory
    2. Tuesday - Phenomenological nuclear forces: Skyrme and Gogny forces, concept of energy density functional (EDF), relativistic EDFs, effective pseudopotentials, experimental constraints
    3. Wednesday - Density functional theory (DFT): Existence theorems, Kohn-Sham schemes, local density approximation, gradient exchanges, exchange-correlation, self-interaction
    4. Thursday - Realistic nuclear potentials: Introduction to chiral effective field theory, diagrammatic expansions, power counting
    5. Friday - Non-empirical functionals: Brüeckner theory, density matrix expansions, three-body forces
  3. Third week: Applications of nuclear DFT
    1. Monday - Symmetries: Spontaneous symmetry breaking, nuclear deformation, symmetry restoration, multi-reference DFT
    2. Tuesday - Nuclear collective motion: collective variables, residual interactions, configuration mixing
    3. Wednesday - Computational nuclear structure: DFT solver schemes, large-scale applications
    4. Thursday - Open questions in nuclear DFT: non-empirical functionals, inclusion of collective correlations, symmetries
    5. Friday - Course summary, discussions