Symmetry breaking and quantum correlations in finite systems: studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods.

This pedagogical review presents the Shell Correction Method (SCM) and variants thereof, appropriate for describing shape deformations and electronic shell effects, energetics and decay pathways of me . . . . .

Orbital-free (OF) methods promise significant speed-up of computations based on density functional theory (DFT). In this field, the development of accurate kinetic-energy density functionals remains a . . . . .

A basis for understanding and modelling glassy behaviour in martensitic alloys and relaxor ferroelectrics is discussed from the perspective of spin glasses.

In these notes I review the basic concepts of the effects of interactions on quantum particles. I focuss here mostly on the case of fermions, but several aspects of interacting bosons are mentioned as . . . . .

This informal introduction is an extended version of a three hours lecture given at the 6th Peyresq meeting ``Integrable systems and quantum field theory''. In this lecture, we make an overview of som . . . . .

Contenuto: 1 Cenni sulle matrici; 2 Coordinate e vettori; 3 Matrice metrica; 4 Coordinate molecolari; 5 Tensori; 6 Algebra tensoriale; 7 Equazioni del moto; 8 Dinamica molecolare; 9 Dinamica di corp . . . . .

Contenuto: Coordinate e vettori; Tensori; 3 Tensori cartesiani; 4 Coordinate rotazionali ;5 Algebra tensoriale;6 Spettroscopia vibrazionale; 7 Relativita` ristretta; 8 Biografie.