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L_landau

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## Homework Statement

An electron is trapped in a finite potential well that is deep enough to allow the electron to exist in a state with n=4. How many points of (a) zero probability and (b) maximum probability does its matter wave have within the well?

## Homework Equations

For infinite potential well there are nodes at the walls and λ = 2L/n as in the case of a string with two clamps.

In this case there are n+1 nodes and n antinodes.

## The Attempt at a Solution

I read in the textbook that the analogy between clamped strings and quantization fails for the finite potential well because the wavefunction probability is non-zero in the potential. Judging by the graphic included, I would say that there are (a) n-1 nodes and (b) n antinodes for the finite potential well case. Is this right?