Wave Function Exercise #0

Please answer the  following 3 questions regarding the Physlet:

Description

Shown is a wave function to an unknown potential.  Two questions test your understanding of the form of the wave function and its relationship with the potential. Start

Questions

1. What energy state is depicted?

2. The wave function changes "wavelength" and amplitude, what does this mean?

3. How do you know?  You should consider a classical analogy.

4. What does the potential look like?

References

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. 

Credits

Script by Mario Belloni.
Questions by Mario Belloni.
Java applets by Wolfgang Christian.