An Introduction to the Time-Dependent Hartree-Fock Theory in Nuclear Physics

Abstract

The emphasis is put on the fact that a system with many degrees of freedom can actually show behaviours where only a few degrees, of a collective nature, are excited. Such behaviours relate to the solitonic solutions of TDHF. The lectures first introduce the physical ideas which govern the theory, then provide derivations of TDHF and its properties, and finally show how the solitonic solutions can be recognized by a criterion of geometrical nature in the fiber bundle of the Slater determinants. The collective degrees of freedom are then derived from first principles, as the algebra which governs the TDHF evolution of the solitons.