1 Wave Model for Atomic Systems 1
1.1 General Considerations 1
1.2 Solution for Helium-Like Systems 2
1.3 Evaluation of the Correction Term Em1s 5
1.4 Solution for Lithium-Like Systems 9
1.5 Geometric Symmetries and Periodic Solutions of the Hamilton-Jacobi Equation 18
1.6 Typical Applications 19
1.7 A More General Method Applied to the Nitrogen Atom 32
1.8 General Relations Derived for the Central Field Method 34
2 Wave Model for Molecular Systems 37
2.1 General Considerations 37
2.2 Calculations of the Ca Curves Corresponding to Single，Double，and Triple Bonds of Homonuclear Molecules and to Ionic and Covalent Bonds of Heteronuclear Molecules 38
2.3 Calculations of Geometric Parameters of Diatomic Molecules 46
2.4 Analytical Method Used to Calculate the Energetic Values of Diatomic Molecules 58
2.5 Typical Applications 63
3 Modeling Properties of Harmonics Generated by Relativistic Interactions Between Very Intense Electromagnetic Beams，Electrons，and Atoms 85
3.1 General Considerations 85
3.2 Radiations Generated at the Interactions Between Very Intense Laser Beams and Electron P1asmas 86
3.3 Hard Radiations Generated at the Head-on Collision Between Very Intense Laser Beam and Relativistic Electron Beam 89
3.4 Effects in Collisions at Arbitrary Angles Between Very Intense σL or πL Polarized Laser Beams，and Relativistic Electron Beams 92
3.5 Calculation of the Harmonic Spectrum of the Radiations Generated at the Interaction Between Very Intense Laser Beams and Atoms 94
Conclusions 101
Appendix A：Details of Calculation of the Correction Term Em1s 103
Appendix B：Mathematica 7 Programs 107
Bibfiography 133