WKB Quantum Tunneling Through a Potential Barrier
Barrier height V₀:
3.0
Barrier width L:
2.0
Energy E:
1.5
The WKB approximation gives the tunneling transmission coefficient T ≈ exp(−2∫κ(x)dx) where κ(x) = √(2m(V(x)−E))/ℏ is the local decay rate inside the classically forbidden region — exponentially sensitive to barrier width and height.