Fermi's Golden Rule:
sinc²(δT/2)
→ δ(δ)
Transition probability P(δ,T) = (|V_fi|/ħ)² · sin²(δT/2)/(δ/2)² — as T→∞, width→0, area→2πT, density→2π·δ(δ)
f(δ,T) = T² · sinc²(δT/2)
| Peak = T² | First zero: δ = 2π/T | Area = 2πT | T→∞: f/T → 2π·δ(δ)
T = 1
T = 10
T = 100
T = slider
f(δ, T) = T² · sinc²(δT/2) — raw height (log₁₀ scale on y)
T slider:
5
y-axis:
log₁₀
linear
Peak height vs T (slope 2) & Area vs T (slope 1)
Physics checks:
Area integral 2π·T vs T