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Quantum Mechanics · Part 7

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Table of Contents

  1. 1.The Many-Body Hamiltonian
  2. 2.Central Field Approximation
  3. 3.Screening and Effective Charge
  4. 4.Orbital Energies
  5. 5.Electron Configuration Notation
  6. 6.Term Symbols
  7. 7.LS Coupling (Russell-Saunders)
  8. 8.jj Coupling
  9. 9.Hartree-Fock Method
  10. 10.Configuration Interaction

Key Equations

$$\hat{H} = \sum_{i=1}^Z\left[-\frac{\hbar^2}{2m}\nabla_i^2 - \frac{Ze^2}{4\pi\epsilon_0 r_i}\right] + \sum_{i<j}\frac{e^2}{4\pi\epsilon_0 r_{ij}}$$
$$\hat{H} \approx \sum_{i=1}^Z\left[-\frac{\hbar^2}{2m}\nabla_i^2 + V(r_i)\right]$$
$$Z_{eff} = Z - \sigma$$
$$E_{n\ell} \approx -\frac{Z_{eff}^2 \times 13.6\text{ eV}}{n^2}$$

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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