Useful Links
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. The Hydrogen Atom
    1. Classical Hydrogen Atom
      1. Coulomb Potential
        1. Classical Orbits
          1. Kepler Problem
          2. Quantum Mechanical Solution
            1. Separation in Spherical Coordinates
              1. Radial Equation
                1. Associated Laguerre Polynomials
                  1. Energy Levels
                    1. Quantum Numbers
                    2. Hydrogen Wave Functions
                      1. Radial Wave Functions
                        1. Angular Wave Functions
                          1. Complete Wave Functions
                            1. Atomic Orbitals
                            2. Physical Properties
                              1. Energy Spectrum
                                1. Degeneracy
                                  1. Selection Rules
                                    1. Transition Probabilities
                                    2. Fine Structure
                                      1. Relativistic Corrections
                                        1. Spin-Orbit Coupling
                                          1. Darwin Term
                                            1. Lamb Shift

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