# Particle in a box classical expectations

1. May 10, 2012

### sunrah

1. The problem statement, all variables and given/known data

A particle with energy $E = \frac{\hbar^{2}k^{2}}{2m}$ > 0 moves in a finite potential

V(x) = 0 for x > abs(a)
V(x) = V0 x < abs(a)

How does a particle coming from the left behave classically under the following conditions:
a) V0 < 0, E = -V0
b) E < V0, E = 3/4 V0
c) 0 < V0 < E, E = 2V0

2. Relevant equations
3. The attempt at a solution
I have to sketch the behaviour of the particle. My thoughts are that in (a) and (c) the particle is unbound and in (b) it is bound, but I don't know what the situation would be classically. Also what am I actually expected to sketch, the wave function or the particle (e.g. classical trajectory r(t))