General topics: B. Sutcliffe: Is a molecule in chemistry explicable as a broken symmetry in quantum mechanics?- E. Cances: SCF algorithms for HF electronic calculations.- M. Caffarel, R. Assaraf: A pedagogical introduction to Quantum Monte-Carlo.- G. Turinici: On the controllability of bilinear quantum systems. Condensed phases: I. Catto, C. Le Bris, P-L. Lions: Recent mathematical results on the quantum modeling of crystals.- O. Bokanowski, B. Grebert, N.J. Mauser: Local density approximations for the energy of a periodic Coulomb model.- X. Blanc: A mathematical insight into ab initio simulations of the solid phase.- M. Defranceschi, V. Louis-Achille: Examples of hidden numerical tricks in a solid state determination of electronic structure.- B. Mennucci: Quantum mechanical models for systems in solution. Relativistic models: J. Dolbeault, M.J. Esteban, E. Sere: Variational methods in relativistic quantum mechanics.- T. Saue, H.J. Aa. Jensen: Quaternion symmetry of the Dirac equation.