Tunnel Fffect (2 dimensions)

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TUNNEL EFFECT (example 1) Tunneling is an important quantum phenomenon forbidden in classical mechanics: a particle moves encounters a thin potential barrier and, even if the energy of the particle is less than the height of the barrier, it is possible for the particle to cross the barrier. In this simulation, the height of the barrier is 18; the particle has energies ranging from 9 to 16 (so less than the barrier); the average wavelength of the packet is 1.25; the width of the barrier is 0.1.
Step by step images	$\| ψ (x, t) \|^{2}$	In the white-orange area the value of function $\| ψ (x, t) \|^{2}$ is much greater than zero, while it is practically zero in the blue areas.
Step by step images	$Real [ψ (x, t)]$	The animation shows the real part of the wave function using a three-dimensional graph.
Step by step images	$Real [ψ (x, t)]$	The animation shows the previous graph using a top view
TUNNEL EFFECT (example 2) In this case the barrier is wider than in the previous case.
Step by step images	$\| ψ (x, t) \|^{2}$	In this case the width of the barrier is 0.5 while in the previous case it is 0.1. In this case most of the wave is reflected, while in the previous case most of the wave passes through the barrier.
TUNNEL EFFECT (example 3) In this simulation, the barrier forms an angle of 45 degrees with the direction of motion of the particle.
Step by step images	$\| ψ (x, t) \|^{2}$	In this example the barrier forms an angle of 45 degrees with the direction of motion of the particle.
Step by step images	$Real [ψ (x, t)]$	The animation shows the real part of the wave function using a three-dimensional graph.
Step by step images	$Real [ψ (x, t)]$	The animation shows the previous graph using a top view