Next:
Klein-Gordon Equation
Up:
PHYSICS LECTURE NOTES PHYS
Previous:
Working Rules for Lorentz
Relativistic Quantum Mechanics
Subsections
Klein-Gordon Equation
Wave Equation for a Spin-0 Particle
Lorentz Invariance
Solutions of the Klein-Gordon Equation
General Solution of the Klein-Gordon Equation
Conserved Current and Charge
Charge of a Klein-Gordon Particle
Orthogonality and Normalization
Interaction with the Electromagnetic Field
Gauge Invariance
Electromagnetic Coupling
Charge Conjugation
Klein-Gordon Equation in Schrödinger Form
Zitterbewegung
Klein Paradox for Spin-0 Particles
Coulomb Interaction
Homogeneous Green Function
Completeness
Summary
Problems
Dirac Equation
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
Rotations
Lorentz Boosts
Spatial Inversion
Covariance of the Continuity Equation
Adjoint Spinor
Bilinear Covariants
Plane-Wave Solutions
Spin
Projection Operators for Energy and Spin
Energy Projection Operators
Spin Projection Operators
Projection Operators of 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
Douglas M. Gingrich
(gingrich@ ualberta.ca)
2004-03-18
