# Step Potential with incident and reflected waves

## Homework Statement

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?

## Homework Equations

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.

## Answers and Replies

BvU
Homework Helper
Please post what you have worked out in more detail, so we can provide some guidance in this peculiar but intriguing exercise.
Offhand you can guess that a will yield puny distances and b a puny probability. h is really small in daily life !

Orodruin
Staff Emeritus