Introduction 1 Wave Model for Atomic Systems 1.1 General COnsiderations 1.2 Solution for Helium—Like Systems 1.3 Evaluation of the Correction Term Emls 1.4 Solution for Lithium Like Systems 1.5 Geometric Symmetries and Periodic Solutions of the Hamilton—Jacobi Equation 1.6 Typical Applications 1.7 A More General Method Applied to the Nitrogen Atom 1.8 General Relations Derived for the Central Field Method 2 Wave Model for Molecular Systems 2.1 General COnsideratiOns 2.2 Calculations of the Ca Curves C0rrespOnding to Single Double and Triple Bonds Of Homonuclear Molecules and to Ionic and Covalent Bonds of HeterOnuclear Molecules 2.3 Calculations of Geometric Parameters of Diatomic Molecules 2.4 Analytical Method Used to Calculate the Energetic Values of Diatomic Molecules 2.5 Typical Applications 3 Modeling Properties of Harmonics Generated by Relativistic Interactions Between Very Intense Electromagnetic Beams,Electrons and Atoms 3.1 General Considerations 3.2 Radiations Generated at the Interactions Between Very Intense Laser Beams and Electron Plasmas 3.3 Hard Radiations Generated at the Head on Collision Between Very Intense Laser Beam and Relativistic Electron Beam 3.4 Effects in Collisions at Arbitrary Angles Between Verv Intense OL or πL Polarized Laser Beams,and Relativistic Electron Beams 3.5 Calculation of the Harmonic Spectrum of the Radiations Generated at the Interaction Between Very Intense Laser Beams and Atoms Conclusions Appendix A:Details of Calculation of the Correction Term Emls Appendix B:Mathematica 7 Programs Bibliography