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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
  1. Physics
  2. 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
  1. Relativistic Quantum Mechanics
    1. Special Relativity Review
      1. Lorentz Transformations
        1. Four-Vectors
          1. Energy-Momentum Relations
          2. Klein-Gordon Equation
            1. Derivation
              1. Solutions
                1. Probability Current
                  1. Negative Energy States
                  2. Dirac Equation
                    1. Motivation and Derivation
                      1. Dirac Matrices
                        1. Spinor Solutions
                          1. Antiparticles
                            1. Spin from Relativity
                            2. Hydrogen Atom Revisited
                              1. Dirac Hydrogen Atom
                                1. Fine Structure
                                  1. Spin-Orbit Coupling

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