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Homework Help: Particle in a box classical expectations

  1. May 10, 2012 #1
    1. The problem statement, all variables and given/known data

    A particle with energy [itex]E = \frac{\hbar^{2}k^{2}}{2m}[/itex] > 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))
  2. jcsd
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