Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory CourseSpringer 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. |
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 |
239 | |
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Expressions et termes fréquents
6j-symbols alignment amplitudes angle angular correlation function angular distribution anisotropy Auger electrons autoionizing axis characterized circularly polarized Clebsch-Gordan coefficients coincidence collision components consider coordinate frame corresponding cos² cross section decay density matrix density operator detected detector direction distribution and polarization efficiency tensors ejected electron electron beam emission emitted photon Equation excited atom expression given by Eq incident electron initial atom ionization j₁ k₁ kmax linear polarization Matrix and Statistical matrix elements momenta nonzero normalization obtain orbital angular momentum orientation P₁ P₂ parity particle photoelectron photoionization photon beam photon polarization PWBA quantum numbers reduced statistical tensors resonance rotation scattered electrons sin² spherical harmonics spin density matrix spin polarization Stokes parameters subsystem summation superelastic symmetry target atom tion total angular momentum transformation transition unpolarized target z-axis Απ Σ Σ