# Quantum Harmonic Oscillator Tunneling into Classically Forbidden Regions

Quantum Harmonic Oscillator Tunneling into Classically Forbidden Regions

This Demonstration shows coordinate-space probability distributions for quantized energy states of the harmonic oscillator, scaled such that the classical turning points are always at .

|x|=1

Tunneling probabilities equal the areas under the curve beyond the classical turning points (vertical red lines). The green U-shaped curve is the probability distribution for the classical oscillator.