A woman is walking along a road. She has a mass of 52 kg and is walking at 1 m/s.
(a) She is not paying careful attention and is walking straight towards the wall of a nearby building. Assume that the wall is infinitely hard and that she can be described as a plane wave (a free particle). As she “bounces” off the wall, her incident and reflected wave functions interfere. What is the spacing of the nodes in her |Ψ|2 ?
(b) Next, she approaches a curb of height 25 cm and steps down over it. Quantum mechanically she has a finite probability of bouncing off (being reflected off) the curb. What is her reflection coefficient?
(c) In (b) above, what is her momentum if we find that she was reflected backwards by the downward edge of the curb?
Schrödinger (I'm guessing), general forms of solutions of incident/reflected waves?
k1 = √(2mE)/ħ
k2 = √(2m(E-v0))/ħ
The Attempt at a Solution
I've tried a couple different things to no avail... We discussed general situations with k1 and k2 but I'm totally at a loss as to how to apply it to this problem.