A characteristic feature of the relativistic wave equation is that the spin of the particle is built into the theory from the beginning, and is not added afterwards as Pauli added the electron spin to the Schödinger nonrelativistic equation. This feature provides a useful measure of the applicability of a particular wave equation to the description of a particular kind of particle.

- Wave Equation for a Spin-1/2 Particle
- Current Conservation
- Dirac Particle at Rest
- Electromagnetic Interaction
- Nonrelativistic Limit of the Dirac Equation
- Constants of the Motion
- Free Motion of a Dirac Particle
- Covariant Form of the Dirac Equation
- Proof of Covariance

- Covariance of the Continuity Equation
- Adjoint Spinor
- Bilinear Covariants
- Plane-Wave Solutions

- Projection Operators for Energy and Spin

- Hole Theory
- Charge Conjugation
- Time Reversal
- Combined PCT Symmetry
- Free-Particle Solutions and Wave Packets
- Klein Paradox for Spin-1/2 Particles
- Problems

2004-03-18