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Complex Numbers in Quantum Mechanics - From Basic Concepts to Wave Functions
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- 1 Introduction
- 2 Real vs. Complex Numbers
- 3 A Wavy Wave, Waving
- 4 Complex Representation of the Wave
- 5 Complex Addition, Multiplication, and Interference
- 6 Fourier Analysis & Superpositions
- 7 Examples: Harmonic Oscillator and Hydrogen
- 8 Plane Waves
- 9 Probability Density
- 10 U1 Symmetry Implies Electromagnetism