## Section 7.6: Exploring Energy Eigenfunctions and Potential Energy

Potential 1 | Potential 2 | Potential 3 | Potential 4

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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.

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