Addition

Quantum Mechanics · Part 5

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Table of Contents

  1. 1.The Problem
  2. 2.Uncoupled vs. Coupled Basis
  3. 3.Triangle Inequality
  4. 4.Example: Two Spin-1/2 Particles
  5. 5.Example: Spin-Orbit Coupling
  6. 6.Change of Basis Transformation
  7. 7.Recursive Construction
  8. 8.Example:
  9. 9.Physical Applications
  10. 10.Selection Rules

Key Equations

$$\vec{J} = \vec{J}_1 + \vec{J}_2$$
$$m = -j, -j+1, \ldots, j-1, j$$
$$\vec{J} = \vec{L} + \vec{S}$$
$$|j_1, j_2; j_{\max}, m_{\max}\rangle = |j_1, j_1; j_2, j_2\rangle$$

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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