Sketching ψ(x) for 1-D TISE in Ground State: Potential, Energy, and Behavior

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Homework Statement



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)

Homework Equations



ψ''+2m(E-V0)/ħ^2 ψ=0

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.
 
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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.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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