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

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Springer Science & Business Media, 30 avr. 2000 - 243 pages
Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course bridges the gap between traditional courses in quantum mechanics and practical investigations. The authors' goal is to guide students in training their ability to perform theoretical calculations of polarization and correlation characteristics of various processes in atomic collisions.
The book provides a concise description of the density matrix and statistical tensor formalism and presents a general approach to the description of angular correlation and polarization phenomena. It illustrates an application of the angular momentum technique to a broad variety of atomic processes.
The book contains derivations of the most important expressions for observable quantities in electron-atom and ion-atom scattering, including that for polarized beams and/or polarized targets, in photo-induced processes, autoionization and cascades of atomic transitions.
Spin-polarization and angular distributions of the reaction products are described, including the angular correlations in different types of coincidence measurements. The considered processes exemplify the general approach and the number of examples can be easily extended by a reader. The book supplies researchers, both theoreticians and experimentalists with a collection of helpful formulae and tables, and can serve as a reference book.
Based on a highly regarded course at Moscow State University and elsewhere, the book provides real guidance on theoretical calculations of practical use.
 

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Table des matières

Density Matrix and Statistical Tensors
1
12 Spin Density Matrix and Statistical Tensors
7
13 Spin Density Matrix and Statistical Tensors for Simple Systems
15
14 Symmetry Restrictions on the Density Matrix and Statistical Tensors
27
15 Efficiency Matrix and Efficiency Tensors
31
Production of Polarized States
45
22 Polarization and Angular Distribution of Scattering Products
55
23 Direct Atomic Photoeffect
76
52 Time Evolution of Statistical Tensors and Depolarization of Atomic Angular Momenta
190
53 Influence of Time Evolution of Statistical Tensors on Angular Distribution and Polarization of Decay Products
193
Appendix
197
A2 Legendre Polynomials and Associated Legendre Polynomials
198
A3 Spherical Harmonics
200
A4 Bipolar spherical harmonics
203
A5 Solid Spherical Harmonics
205
A6 Rotations and Wigner DFunctions
206

24 Direct Ionization by Panicle Impact
97
Decay of Polarized States
107
32 Radiative Decay
115
33 Polarization State of the Residual Atomic System after Decay
121
34 Polarization in Cascade Decay
126
Resonant and TwoStep Processes
133
42 TwoStep Reactions of Ionization and Decay
155
43 Polarization and Correlations in Autoionization Processes
170
Complements
187
A7 Irreducible Tensor Operators
209
A8 ClebschGordan Coefficients
215
A9 6jSymbols
221
A10 9jSymbols
224
A11 Sums of Products of the 3njSymbols
229
Bibliography
237
Index
239
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