The Quantum “Finite Step” problem

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The Probability Wave:

The Wave Function:

This is an animation of the Finite Step problem, as described in a typical undergraduate quantum mechanics textbook.

  • The top animation shows the evolution of |\psi|^2 the probability density function.

  • The bottom animation shows the full wave function \psi. The real part is blue and the imaginary part is red.

  • Note how the probability wave “tunnels” a little way through the potential barrier.

Note: The animation may look better if you view it directly on Vimeo. Just click on the word “Vimeo” on the player.

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