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Homework Help: 1-D TISE ψ(x) sketch

  1. Mar 19, 2014 #1
    25yzm93.jpg 1. The problem statement, all variables and given/known data

    Particle moves in one dimension in the potential shown here. The energy E is shown on the graph and the particle is in its ground state.
    Sketch ψ(x)

    2. Relevant equations

    ψ''+2m(E-V0)/ħ^2 ψ=0

    3. The attempt at a solution

    For E>V0: The graph of ψ goes toward x axis, ψ and ψ'' have opposite signs.

    For E<V0: The graph of ψ goes from x axis, ψ and ψ'' have the same signs.

    The graph must end up going towards the zero on both ends.
  2. jcsd
  3. Mar 20, 2014 #2

    Simon Bridge

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    Science Advisor
    Homework Helper

    You can do it for each well separately right?
    It's just a sketch - you you don't need to be exact - so just sum what you get for each one apart.
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