Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course.

Table of contents

1. Density Matrix and Statistical Tensors

1.1. Description of Mixed States by Density Matrix 
1.2. Spin Density Matrix and Statistical Tensors 
1.3. Spin Density Matrix and Statistical Tensors for Simple Systems 
1.4. Symmetry Restrictions on the Density Matrix and Statistical Tensors 
1.5. Efficiency Matrix and Efficiency Tensors

2. Production of Polarized States

2.1. Polarization of Compound Systems 
2.2. Polarization and Angular Distribution of Scattering Products 
2.3. Direct Atomic Photoeffect 
2.4. Direct Ionization by Particle Impact

3. Decay of Polarized States

3.1. Nonradiative Decay 
3.2. Radiative Decay 
3.3. Polarization State of the Residual Atomic System after Decay 
3.4. Polarization in Cascade Decay

4. Resonant and Two-Step Processes

4.1. Two-Step Reactions of Excitation and Radiation Decay of Discrete . Atomic Levels 
4.2. Two-Step Reactions of lonization and Decay 
4.3. Polarization and Correlations in Autoionization Processes

5. Complements

5.1. Polarization of Atoms by Laser Optical Pumping 
5.2. Time Evolution of Statistical Tensors and Depolarization of AtomicAngular Momenta 
5.3. Influence of Time Evolution of Statistical Tensors on Angular Distribution and Polarization of Decay Products


A.1. Pauli Matrices 
A.2. Legendre Polynomials and Associated Legendre Polynomials 
A.3. Spherical Harmonics 
A.4. Bipolar spherical harmonics 
A.5. Solid Spherical Harmonics 
A.6. Rotations and Wigner D-Functions 
A.7. Irreducible Tensor Operators 
A.8. Clebsch-Gordan Coefficients 
A.9. By-Symbols 
A.10. 9.7-Symbols 
A.11. Sums of Products of the 3n/-Symbols