WKB Transmission T
—
Reflection R
—
Decay exponent γ
—
Regime
—
WKB approximation:
T ≈ exp(−2γ)
γ = ∫ √[2m(V(x)−E)]/ℏ dx
(integral over classically forbidden region)
Exact for: alpha decay (Gamow factor), field emission (Fowler-Nordheim), scanning tunneling microscope.
Above barrier: oscillatory wave, partial reflection from barrier edges.
T ≈ exp(−2γ)
γ = ∫ √[2m(V(x)−E)]/ℏ dx
(integral over classically forbidden region)
Exact for: alpha decay (Gamow factor), field emission (Fowler-Nordheim), scanning tunneling microscope.
Above barrier: oscillatory wave, partial reflection from barrier edges.