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Special Relativity
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The Situation Before 1900
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Einstein’s Two Postulates
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Consequences
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Relativistic Electromagnetic Interactions
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The Maxwell Equations
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Potentials and Gauge Transformations
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The Relativistic Potential from a Moving Charge
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The Potential Experienced by a Moving Charge
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The Interaction of Two Charged Particles
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Relativistic Wave Equation
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Klein-Gordon Equation
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Dirac’s Free Particle Equation
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Dirac One Particle Hamiltonian
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Free-electron Solutions of the Time-independent Dirac Equation
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Hydrogen Solutions of the Time-independent Dirac Equation
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Relativistic Symmetry
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Double Groups
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Spin and the SU(2) Group
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Spatial Rotations and the SO(3) Group
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Transformation of Operators
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Transformation of the Dirac Equation under SU(2) and SO(3)
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Space Inversion
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Reflection and Rotation-Inversions
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Time Reversal
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Lorentz Transformations and the Lorentz Group
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All-electron Methodology
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Four-component methods
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Spin Separations and the Modified Dirac Equation
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The Foldy-Wouthuysen Transformation
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Douglas-Kroll-Hess Hamiltonian
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Elimination of Small Components
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Perturbation Methods
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Valence-Electron Methods
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Core-valence Separation
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Valence-only Model Hamiltonian
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Pseudopotentials
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Core-Polarization Potentials
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Core-core/nucleus Repulsion Corrections
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Valence Basis Sets
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Relativistic Effects in Periodic Table
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Main Group Elements
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Transition Metals
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Lanthanides and Actinides
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Superheavy Elements