Contents: The problems with classical physics; diffraction; The solution: probability amplitudes; wave packets; operators; The Schroedinger equation; Eigenfunctions, eigenvalues and spaces; one dimens . . . . .

Contents: Angular Momentum; Central-Field Schrodinger Equation; Self-Consistent Fields; Atomic Multiplets; Radiative Transitions; Introduction to MBPT.

Contents: Les Outils de l\'optique quantique; les approches phénoménologiques; L\'approche semi-classique; Description quantique du champ électromagnétique libre; Interaction entre atome et champ qua . . . . .

Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model des . . . . .

The legendary 1951 Dyson Lectures on Advanced Quantum Mechanics are finally LaTeXed, with thorough annotations and an index as an added bonus.

Contents: Fundamentals; More advanced topics; Many-electron phase and distance; Molecules; Crystalline solids and Zak's phase; Adiabatic phenomena in solids; Wannier functions; A single electron in a . . . . .

Contents: hilbert spaces; operators algebra; representation of C algebras; schrodinger equation; the weyl system; lie algebra and groups; semisimple lie algebras; representation of semisimple lie alge . . . . .

All our former experience with application of quantum theory seems to say: {\it what is predicted by quantum formalism must occur in laboratory}. But the essence of quantum formalism - entanglement, r . . . . .

Contents: Relativistic Quantum Mechanics; Feynman path-integral formulation of quantum mechanics; Canonical Quantization; Integrating Fields.

How can one prove that a given state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement the . . . . .

This article presents a review of the current state of the art in the research field of cold and ultracold molecules. It serves as an introduction to the Special Issue of the New Journal of Physics on . . . . .

Contents: Particules identiques en mecanique quantique; la seconde quantification; problemes dependant du temps; amplitudes de transition; couplage d'un eta discret à un eta continuum; elements de the . . . . .

A review of new aspects concerning time-symmetry in Quantum Mechanics.

These two lectures are devoted to describing the basic concepts of scattering theory in a very compressed way.

Contents: introduction; les operatores dans le formalisme de Feyman; Principe d'action de Schwinger; Function de Green, propagatores; Etats Stationaries de collision; Etude du spectre discret de H au . . . . .