Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course
James McGuire
Abstract
James McGuire
Abstract
1. Density Matrix and Statistical Tensors.- 2. Production of Polarized States.- 3. Decay of Polarized States.- 4. Resonant and Two-Step Processes.- 5. Complements.- 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.
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1. Density Matrix and Statistical Tensors.- 2. Production of Polarized States.- 3. Decay of Polarized States.- 4. Resonant and Two-Step Processes.- 5. Complements.- 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.
Key concepts: Associated Legendre polynomials, Zonal spherical harmonics, Spherical harmonics, Legendre polynomials, Tensor operator, Solid harmonics, Pauli exclusion principle, Spin-weighted spherical harmonics