Chapter 4b
The Vector Model of Angular Momentum

Physical pendulum
Walking
Billiard cushions
Billiards with impulse
Billiards w/o forces
Bowling with friction
Bowling alleys w/o forces

The Schrödinger approximation

Two relativistic limits of the Dirac equation
Operator formalism
Wave equations

Intrinsic action as a patch

Electron spin and magnetic moment

Spin 1/2
Spin and rotation
Philippine wine dance
continued
Low-order spin doctors

The Pauli spin matrices

Pauli spin matrices
Port Lawrence and Vistula Meadows
Mixed eigenvectors
Commutation properties
Dirac matrix equation

Internal magnetic fields

"Classical" g-factor
Tangential speed
Zitterbewegung

Problem: screening parametrization
Plot
losning

Coupling approximations

The vector model
LS and jj coupling
6-j diagrams

QM vector coupling

Angular momentum addition
Adding two spin 1/2 momenta
Singlet and triplet wave functions
Spectroscopic notation
Application to 1s2p and 1s3d
Singlet-triplet Grotrian diagram
Nomenclature
Sigma and pi radiation

The connection between spin and statistics

Singlet and triplet wave functions
The exclusion principle
Exchange symmetry

The Landé interval rule

Landé interval rule
Example

External magnetic fields

Gravitational spin-orbit coupling?
The earth and moon
Spin-orbit vector sums
Anomalous Zeeman effect
Landé g-factor
Anom. Zeeman (continued)
Zeeman splitting
Grotrian diagram
Paschen-Back effect
Splitting with increasing field
Very strong fields
Electromagnetic hamiltonian
Quadratic hamiltonian

Field effects in bulk matter

The origins of para- and diamagnetism
The field vectors D, E, H, B
Bound and free charges and currents
Hund's rule, exclusion and condensation
Ferromagnetism - exchange on the halfshell

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