Airy Function Waves

Ai(x) and Bi(x) — solutions to y'' = xy — oscillation meets exponential decay at x = 0

x range min-12

x range max6

Scale Ai2.0

Animation phase0

Airy equation y'' = xy arises in WKB approximation near classical turning points (E = V(x)). Ai(x) → 0 exponentially for x→+∞ (tunneling evanescent wave). Ai(x) oscillates for x<0 (classical region).