Pauli Exclusion

Quantum Mechanics · Part 7

191 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.The Principle
  2. 2.Complete Quantum State
  3. 3.Historical Context
  4. 4.Application: Helium Atom
  5. 5.Atomic Shell Structure
  6. 6.Aufbau Principle
  7. 7.Hund's Rules
  8. 8.Consequences for Chemistry
  9. 9.Stability of Matter
  10. 10.Astrophysical Applications

Key Equations

$$\psi_A(1,1) = \frac{1}{\sqrt{2}}(\psi_a(1)\psi_a(1) - \psi_a(1)\psi_a(1)) = 0$$
$$|n, \ell, m_\ell, m_s = +1/2\rangle \text{ and } |n, \ell, m_\ell, m_s = -1/2\rangle$$
$$|1s, \uparrow\rangle|1s, \downarrow\rangle$$
$$N_{max} = 2(2\ell + 1)$$

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 ...