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Physics
Quantum Physics
Quantum Mechanics
1. Historical Development and Foundations
2. Mathematical Foundations
3. Wave Function Formalism
4. Quantum Mechanical Operators
5. Hilbert Space and Dirac Notation
6. One-Dimensional Systems
7. Three-Dimensional Systems
8. Angular Momentum Theory
9. The Hydrogen Atom
10. Approximation Methods
11. Identical Particles and Many-Body Systems
12. Scattering Theory
13. Quantum Mechanics of Radiation
14. Relativistic Quantum Mechanics
15. Interpretations and Foundations
16. Advanced Topics
14.
Relativistic Quantum Mechanics
14.1.
Special Relativity Review
14.1.1.
Lorentz Transformations
14.1.2.
Four-Vectors
14.1.3.
Energy-Momentum Relations
14.2.
Klein-Gordon Equation
14.2.1.
Derivation
14.2.2.
Solutions
14.2.3.
Probability Current
14.2.4.
Negative Energy States
14.3.
Dirac Equation
14.3.1.
Motivation and Derivation
14.3.2.
Dirac Matrices
14.3.3.
Spinor Solutions
14.3.4.
Antiparticles
14.3.5.
Spin from Relativity
14.4.
Hydrogen Atom Revisited
14.4.1.
Dirac Hydrogen Atom
14.4.2.
Fine Structure
14.4.3.
Spin-Orbit Coupling
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15. Interpretations and Foundations