Scattering Derivations
Scattering derivations are convention-heavy. Before comparing formulas, check state normalization, incoming-wave convention, Fourier transform convention, and cross-section definition.
Core Scattering Theory
Section titled “Core Scattering Theory”- Scattering Amplitude
- Cross Sections
- Lippmann-Schwinger Equation
- First Born Approximation
- Optical Theorem
Partial Waves and Low Energy
Section titled “Partial Waves and Low Energy”- Partial-Wave Expansion
- Phase Shifts
- Scattering Length
- Low-Energy Scattering
- Effective-Range Expansion
Special Scattering Problems
Section titled “Special Scattering Problems”QFT Bridges
Section titled “QFT Bridges”References
Section titled “References”- R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed., Springer, 1982.
- J. R. Taylor, Scattering Theory, Dover, 2006.
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd ed., Pergamon, 1977.