Chapter 4 - Atomic Structure and Lifetimes
The Vector Model of Angular Momentum

Elementary angular momentum examples

  • Precession of a top
  • Billiard cushions
  • Billiards with impulse
  • Billiards w/o forces
  • Bowling with friction
  • Bowling alleys w/o forces
  • Action conservation
  • Physical pendulum
  • Walking

    The Schrödinger approximation (Sect. 4.1)

  • Two relativistic limits of the Dirac equation
  • Wave operators
  • Wave equations

    • Electron spin and magnetic moment (Sect 4.2)

  • Spin and rotation
  • Spin 1/2
  • Philippine wine dance
  • continued
  • Low-order spin doctors
  • Port Lawrence and Vistula Meadows
  • Mixed eigenvectors

    • Pauli spin matrices (Sect. 4.3)

  • Non commutation
  • Pauli spin matrices
  • Commutation properties
  • Dirac matrix equation

    • Internal magnetic fields (Sect. 4.4)

  • J, L and S
  • Strengths of internal fields
  • Nuclear vs electronic

    • Coupling approximations (Sect. 4.5)

  • LS and jj coupling
  • 6-j diagrams
  • Addition of angular momentum
  • Spectroscopic notation
  • Application to 1s2p and 1s3d
  • Singlet-triplet Grotrian diagram

    • The connection between spin and statistics (Sect. 4.7)

  • BE and FD statistics
  • The exclusion principle
  • Adding two spin 1/2 momenta
  • Exchange symmetry

    • External magnetic fields (Sect. 4.9)

  • The earth and moon
  • Spin-orbit vector sums
  • Landé g-factor
  • Anomalous Zeeman effect
  • Anom. Zeeman (continued)
  • Grotrian diagram
  • Zeeman splitting
  • Sigma and pi radiation
  • Strong field decoupling of L and S
  • Paschen-Back effect
  • Splitting with increasing field
  • Very strong fields

    • Field effects in bulk matter

  • The origins of para- and diamagnetism
  • Ferromagnetism - exchange on the half-shell
  • Hund's rule, exclusion and condensation
  • The field vectors D, E, H, B

    • Chapter 1
    Chapter 2
    Chapter 3
    Bridge A
    Bridge B
    Chapter 5

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