Quantum Tunneling Through Potential Barrier

Fundamental Physics

How It Works

Quantum tunneling allows a quantum wavepacket to penetrate and traverse a finite potential energy barrier higher than the particle's total energy (E < V₀). Inside the barrier, the wavefunction decays exponentially as an evanescent wave; provided the barrier is sufficiently thin, a finite transmission probability allows the particle to emerge with identical wavelength.

Governing Equation
T ≈ exp(-2 · a · (√(2m · (V_0 - E))) / ħ)