Cross Sections

Quantum Mechanics · Part 8

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Table of Contents

  1. 1.The Scattering Experiment
  2. 2.Differential Cross Section
  3. 3.Total Cross Section
  4. 4.Quantum Mechanical Formula
  5. 5.Elastic vs Inelastic Scattering
  6. 6.Scattering Length
  7. 7.Classical vs Quantum
  8. 8.Optical Theorem
  9. 9.Experimental Considerations
  10. 10.Applications

Key Equations

$$\frac{dN}{dt} = \Phi \frac{d\sigma}{d\Omega}(\theta, \phi) d\Omega$$
$$\sigma_{tot} = \int \frac{d\sigma}{d\Omega} d\Omega = \int_0^{2\pi}\int_0^\pi \frac{d\sigma}{d\Omega} \sin\theta\, d\theta\, d\phi$$
$$\frac{d\sigma}{d\Omega} = |f(\theta,\phi)|^2$$
$$\sigma = 4\pi a_s^2$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Mechanics course on CoursesHub.World. Master quantum mechanics from mathematical foundations to advanced topics. Covers Hilbert spaces, wave functions, angular momentum, perturbation theory, scattering, and path integrals with 450+ pages ...

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