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A particle is confined to a box with hard walls at x = −3 and x = 3 and one of four unknown potential energy functions within the box. Change the energy slider and examine the solutions to the time-independent Schrödinger equation for this system. In the animation, ħ = 2m = 1. Examine each energy eigenfunction that satisfies the boundary conditions, and sketch a potential energy function that is consistent with your observations.