Unit 2 · Wave–Particle Duality

Chapter08

Heisenberg's Uncertainty Principle

Not clumsy measurement — a built-in property of waves

Quantum Academy · presented by Dr. Quincy Quantenstein

CH 08X–Y
Play lesson · 42 min
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Watch the lesson · Unit 2: Wave–Particle Duality

Heisenberg's Uncertainty Principle

Not clumsy measurement — a built-in property of waves

  • ≈ 42 min
  • 56 scenes
  • Narrated by Dr. Q
  • Captions

Generated from the same script as the written lesson, so every word matches the text. Uses your device's voice when it has one; without one, the lesson plays silently with captions. Keys: Space play · ← → scenes · C captions · F full screen.

By the end you'll be able to

  1. State the uncertainty relation Δx·Δp ≥ ħ/2, define each Δ as a standard deviation over identically prepared runs, and use it to calculate minimum momentum and velocity spreads
  2. Explain with wave packets why localizing a wave requires mixing many wavelengths, and why a Gaussian packet reaches the bound exactly
  3. Distinguish the intrinsic uncertainty of a quantum state from measurement disturbance, using Heisenberg's microscope and modern experiments
  4. Apply the energy-time relation to calculate natural line widths and the lifetimes of short-lived particles such as the Z boson
  5. Estimate the size and energy of the hydrogen atom from the uncertainty principle, and explain why zero-point energy means nothing can be perfectly still
  6. Describe incompatible observables and preview how the commutator of position and momentum underlies every uncertainty relation