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Quantum Harmonic Oscillator Tunneling into Classically Forbidden Regions

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quantum number n
0
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.
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