Unit 3 · The Mathematical Machinery

Chapter12

Quantum Tunneling

Walking through walls you don't have the energy to climb

Quantum Academy · presented by Dr. Quincy Quantenstein

CH 12X–Y
Play lesson · 43 min
0:00 / 43:12OpeningTitle

Watch the lesson · Unit 3: The Mathematical Machinery

Quantum Tunneling

Walking through walls you don't have the energy to climb

  • ≈ 43 min
  • 55 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. Explain why a wavefunction decays exponentially, rather than stopping, inside a classically forbidden region where V exceeds E, and compute its decay length 1/κ.
  2. Estimate transmission probabilities with T ≈ e^(−2κL), compare them with the exact rectangular-barrier result, and predict how T responds to changes in barrier width, energy deficit and particle mass.
  3. Describe how Gamow's 1928 tunnelling model explains alpha decay and its enormous range of half-lives, and why fusion in the Sun's core depends on tunnelling.
  4. Explain how the scanning tunnelling microscope turns an exponentially sensitive current into images of individual atoms.
  5. Connect tunnelling to flash memory, tunnel diodes and Josephson junctions, including the macroscopic tunnelling recognized by the 2025 Nobel Prize in Physics.
  6. Explain why tunnelling drills no holes, lets no person walk through walls, and sends no signal faster than light.