Shown is a wave function to an unknown potential energy well. Two questions test your understanding of the form of the wave function and its relationship with the potential. Restart.
What energy state is depicted?
The wave function changes "wavelength" and amplitude, what do these changes mean?
How do you know? You may consider a classical analogy.
What does the potential energy well look like?
This problem is inspired by "one of the best quantum mechanics problems ever posed" [D. Styer, Quantum Mechanics: See it Now, AAPT Kissimmee, FL Jan 2000 and http://www.oberlin.edu/physics/dstyer/TeachQM/see.html.], Problem 3-17 (Exposing an unsuccessful plot, p. 152) in An Introduction to Quantum Physics, A. P. French and Edwin F. Taylor, Norton, New York, 1978.
© Copyright 2003 Mario Belloni and Wolfgang Christian.