Quantum Mechanics
Tunneling: Potential well

Rectangular well Consider a free particle with energy E approaching a potential well of depth V < E. In the absence of friction a classical particle would enter the well on one side and leave the well on the other side. In contrast, a quantum particle has a nonzero probability of being reflected by the well, as shown in the animations that follow.

V = 2*E, d = lambda, sigma_x = lambda, sigma_y = 2*lambda Simulation results for V = 2*E, d = lambda, sigma_x = lambda, sigma_y = 2*lambda V = 2*E, d = lambda, sigma_x = sigma_y = 2*lambda Simulation results for V = 2*E, d = lambda, sigma_x = sigma_y = 2*lambda V = 2*E, d = 2*lambda, sigma_x = sigma_y = 8*lambda Simulation results for V = 2*E, d = 2*lambda, sigma_x = sigma_y = 8*lambda

Triangular wellAs in the case of the potential barrier, changing the shape of the potential well does not affect the salient features of the scattering process. The next animation shows a wave packet scattered by a potential well of triangular shape.

Simulation results for triangular well