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Quantum Tunneling

The probability that a particle will pass through a potential barrier, even if it doesn't have enough energy classically, a key concept in nuclear physics.
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The statement of the theorem

Consider a potential barrier V(x)V(x) defined over x∈[a,b]x \in [a, b], and a particle with energy E<V(x)E < V(x). The transmission probability TT through the barrier, using the WKB approximation, is given by:\nT≈exp⁡(−2∫ab2m(V(x)−E)ℏdx)T \approx \exp\left( -2 \int_{a}^{b} \frac{\sqrt{2m(V(x) - E)}}{\hbar} dx \right)\nwhere mm is the particle mass and ℏ\hbar is the reduced Planck constant.
Source: Wikipedia