Part VIII: Scattering Theory
Quantum scattering from potentials. Cross sections, Born approximation, partial wave analysis, phase shifts, resonances, and S-matrix theoryβessential for understanding particle interactions.
50+ pages | 6 chapters
1. Cross Sections (7 pages)
Differential cross section, total cross section, scattering amplitude
2. Born Approximation (8 pages)
First-order perturbative scattering, Yukawa potential
3. Partial Wave Analysis (10 pages)
Spherical waves, partial wave expansion, scattering amplitude
4. Phase Shifts (8 pages)
Ξ΄_l(k), optical theorem, low-energy scattering
5. Resonances (7 pages)
Breit-Wigner formula, resonance width, lifetime
6. S-Matrix Theory (10 pages)
Scattering matrix, unitarity, analyticity, dispersion relations