Preface. Introduction: The European Workshop `Quantum Systems in Chemistry and Physics; R. McWeeny. I: Trends in Methods. 1. Separability in Quantum Mechanics; R. McWeeny. 2. Optimized Effective Potential for Atoms and Molecules; T. Grabo, et al. 3. The Relativistic Quantum Defect Orbital Method and Some of Its Applications; I. Martin. 4. A New Approach for Valence-bond Calculations: CASVB; T. Thorsteinsson, et al. 5. Studies on Chemical Structure, Spectroscopy and Electron Scattering Using Generalized Multistructural Wavefunctions; M.A.C. Nascimento. II: Trends in Applications. 6. The Characteristic (Crossover) Temperature in the Theory of Thermally Activated Tunneling Processes; S.G. Christov. 7. An Improved Method of Relaxation Rate Calculation in Double-Well Potential Systems; L. Mihailov, et al. 8. Correlation Effects in the Double Proton Transfer of the Formic Acid Dimer; H. Chojnacki. 9. Effect of the Vibrational/Rotational Energy Partitioning on the Energy Transfer in Atom-Triatomic Molecule Collisions; I. Rosenblum, et al. 10. Fragmentation of Ar3+: The Role of Rotational and Vibrational Predissociation Dynamics; E. Buonomo, F.A. Gianturco. 11. Sampling the Initial Conditions for Quasi-Classical Trajectory Studies of Vibrational Predissociation Dynamics; G. Delgado-Barrio, et al. 12. Energy Estimates for Local Chemical Processes in Condensed Matter; C. Pisani. S. Casassa. 13. Theoretical Study of the TiO2 and MgO Surface Acidity and the Adsorption of Acids and Bases; A. Markovits, et al. 14. Optical Spectra of High- Temperature Superconductors; M. Georgiev, L. Mihailov. III: Additional Contributions. 15. Multireference Brillouin-Wigner Coupled-Cluster Theory: Hilbert Space Approach; J. Masik, I. Hubac. 16. Core-Valence Separation for an Open-Shell Atom in the LST-DFT Scheme; L.S. Georgiev, et al. 17. On the Accuracy of the Algebraic Approximation in Molecular Electronic Structure Studies: Matrix Valence-Bond Calculations for the Hydrogen Molecular Ground State; D. Moncrieff, S. Wilson. 18. On the Evaluation of the Matrix Elements Between Non-Orthogonal Slater Determinants; C. Amovilli. 19. The Calculation of Some Processes Involving Transitions in the Continuum; R. Moccia, et al. 20. Revisiting the Off-Center Impurity Problem: Reorientational Rates of Hindered Rotators; M. Ivanovitch, et al.