Physlet Quantum Physics by Belloni, Christian, and Cox: Section 10.3

10.1: Classical Particles and Wave Packets in an Infinite Well
10.2: The Quantum-mechanical Infinite Square Well
10.3: Exploring Changing Well Width
10.4: Time Evolution
10.5: Classical and Quantum-mechanical Probabilities
10.6: Two-state Superpositions
10.7: Wave Packet Dynamics
10.8: Exploring Wave Packet Revivals with Classical Analogies

Section 10.3: Exploring Changing Well Width

Choose a state:

Choose a width:

Please wait for the animation to completely load.

The animation shows position-space energy eigenfunctions in an infinite square well. The width, L, of the well can be changed as can the quantum number, n. Restart.

What is the value of ħ²/2m in this animation? How do you know?
For what value of the width of the well can you get E_n= n²?
How does the energy of a given state depend on the well width? Use the curviness of the energy eigenfunction to support your answer.

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