Quantum tunnelling University Quantum Mechanics I · Physics IV
Barrier Runner
Tune a barrier and electron energy to reach a target transmission probability.
Your arcade progress
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Challenge 1 of 3
Narrow the barrier
Electrons have less energy than the barrier height. Control how thick a forbidden region they meet.
Challenge cleared. Continue to unlock the next experiment.Handles also support arrow keys; the sliders offer the same controls.
Tune the expected transmitted percentage into 10–15%.
Build your setup
Test 1Restoring your saved experiment…
3 stars on your first test; 2 within three; 1 after that. A first clear earns 100 XP plus 10 per star. Better star records earn the difference; repeating a record earns no extra XP.
Your experiment is ready.
Explore the exact rectangular-barrier transmission probability below and above the barrier, including above-barrier reflection.
0 of 3 challenges cleared · Best stars, unlocked rounds and your experiment are saved in this browser.
From the course to the controls
The physics behind the game
Explore the exact rectangular-barrier transmission probability below and above the barrier, including above-barrier reflection.
For E < V₀: T = [1 + V₀² sinh²(κa)/(4E(V₀ − E))]⁻¹; κ = √[2mₑ(V₀ − E)]/ℏ
Model assumptions. Exact stationary scattering for one electron mass and a real, one-dimensional rectangular barrier, with zero potential on both sides. Above the barrier, sin replaces sinh; the continuous E = V₀ limit is handled explicitly. The visual shows ensemble probabilities, not particle trajectories inside the barrier.