Contents

• Quantum States of Photons
  • a)
  • b)
  • c)
  • d)
• Fourier Transforms: The Physicist's View
  • Probabilistic Interpretation Normalization
  • Consevrvation of Probability Parseval's Theorem
  • Inverse Transform
  • de Broglie Hypothesis Oscillations in Functions
• Fourier Transforms (cont'd)
  • Heisenberg Uncertainty Principle (HUP) Fourier Scale Theorem
  • Momentum Shift Fourier ``Transform space'' Displacement Theorem
  • Position Shift Fourier ``Real Space'' Displacement Theorem
  • Measurement Fourier Convolution Theorem
• Schwartz Inequality
• About this document ...