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Klaus D Rothe
Foundations of Quantum Field Theory
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PREFACE
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Chapter 2
Lorentz Group and Hilbert Space
2.1Defining properties of Lorentz transformations
2.2Classification of Lorentz transformations
General form of a Lorentz boosts
2.3Lie algebra of the Lorentz group
2.4Finite irreducible representation of
2.5Transformation properties of massive 1-particle states
2.6Transformation properties of zero-mass 1-particle states
Chapter 3
Search for a Relativistic Wave Equation
3.1A relativistic Schrödinger equation
3.2Difficulties with the wave equation
Probability interpretation
3.3The Klein–Gordon equation
3.4KG equation in the presence of an electromagnetic field
Negative energy solutions and antiparticles
Probability interpretation
Chapter 4
The Dirac Equation
4.1Dirac spinors in the Dirac and Weyl representations
Dirac equation: historical derivation
Tracelessness
Dimensionality
Minimal dimension
Dirac spinors in the Weyl representation
4.2Properties of the Dirac spinors
4.3Properties of the γ-matrices
4.4Zero-mass, spin = fields
Chirality
Solution of Weyl equations
4.5Majorana fermions
Majorana representation
Majorana spinors
Self-conjugate Dirac fields
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