The Dirac equation
Elementary Particle Physics:
theory and experiments
Prof. dr hab. Elżbieta Richter-Wąs
Follow the course/slides from M. A. Thomson lectures at Cambridge University
Non-relativistic QM (revision)
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3
The Klein-Gordon equation
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The Dirac equation
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The Dirac equation
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Dirac Equation: Probability Density and Current
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Covariant Notation: the Dirac g Matrices
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Properties of the g matrices
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Pauli-Dirac representation
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The Adjoint Spinor
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Dirac Equation: Free Particle at Rest
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Dirac Equation: Plane Wave Solutions
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Interpretation of –ve Energy Solutions
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Discovery of the Positron
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Feynman-Stuckelberg Interpretation
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Anti-Particle Spinors
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Anti-Particle Spinors
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Particle and anti-particle Spinors
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Wave function normalisation
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Lecture 1
Charge Conjugation
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Using the anti-particle solutions
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Summary of Solutions to the Dirac Equation
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Spin States
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Pause for Breath …
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Helicity
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Lecture 3
Helicity Eigenstates
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Intrinsic Parity of Dirac Particles
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Summary
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Summary
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Appendix I: Dimensions of the Dirac Matrices
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Appendix II: Spin
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Appendix III: Magnetic Moment
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Appendix IV: Covariance of Dirac Equation
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Appendix V: Transformation of Dirac current
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