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Dirac's Motivation
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Quantum Physics 130
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The Lamb Shift
Contents
Dirac Equation
Subsections
Dirac's Motivation
The Schrödinger-Pauli Hamiltonian
The Dirac Equation
The Conserved Probability Current
The Non-relativistic Limit of the Dirac Equation
The Two Component Dirac Equation
The Large and Small Components of the Dirac Wavefunction
The Non-Relativistic Equation
Solution of Dirac Equation for a Free Particle
Dirac Particle at Rest
Dirac Plane Wave Solution
Alternate Labeling of the Plane Wave Solutions
``Negative Energy'' Solutions: Hole Theory
Equivalence of a Two Component Theory
Relativistic Covariance
Parity
Bilinear Covariants
Constants of the Motion for a Free Particle
The Relativistic Interaction Hamiltonian
Phenomena of Dirac States
Velocity Operator and Zitterbewegung
Expansion of a State in Plane Waves
The Expected Velocity and Zitterbewegung
Solution of the Dirac Equation for Hydrogen
Thomson Scattering
Hole Theory and Charge Conjugation
Charge Conjugate Waves
Quantization of the Dirac Field
The Quantized Dirac Field with Positron Spinors
Vacuum Polarization
The QED LaGrangian and Gauge Invariance
Interaction with a Scalar Field
Jim Branson 2013-04-22
