How does the amplitude of a matter wave relate to probability?... | Filo

Quantum Tunneling. Classically, a particle can only cross a barrier if its energy is higher than the barrier itself. If it is lower, the probability of crossing is zero. Quantum mechanics predicts a different outcome. A particle is not described by a trajectory through space. It is described by a wavefunction that defines a probability distribution over position. In the presence of a barrier, the wavefunction satisfies a different equation. Its amplitude decays exponentially inside the classical