Resonances

Quantum Mechanics · Part 8

213 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

Table of Contents

  1. 1.What is a Resonance?
  2. 2.Breit-Wigner Formula
  3. 3.Resonance Parameters
  4. 4.Phase Shift Behavior
  5. 5.Origin of Resonances
  6. 6.Time Delay at Resonance
  7. 7.Example: Square Well with Barrier
  8. 8.Argand Diagram for Resonance
  9. 9.Compound Nucleus Resonances
  10. 10.Feshbach Resonances in Cold Atoms

Key Equations

$$\sigma_\ell(E) = \frac{4\pi}{k^2}(2\ell+1)\frac{\Gamma^2/4}{(E-E_R)^2 + \Gamma^2/4}$$
$$\sigma_\ell^{max} = \frac{4\pi}{k^2}(2\ell+1)$$
$$Q = \frac{E_R}{\Gamma}$$
$$\delta_\ell(E) \approx \delta_{bg} + \arctan\left[\frac{\Gamma/2}{E-E_R}\right]$$

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 ...

← Phase Shifts
S Matrix →