# Exercise 5

In this task we will try to illustrate what happens if many individual finite wells are connected together. The idea is that the results should reflect the difference between a single finite well and many finite wells representing one atoms to many atoms.
Open the file "Exercise 5 - towards solids.flow". A node diagram appears with the following content:

• "Spatial dimension" - definition of x-axis.
• "Number of wells" - a packed structure that defines a series of final wells (each with width 2) and with a distance between them defined by the number "separation". The five outputs correspond to 1, 2, 3, 4 or 5 wells. You can unpack the structure by clicking on the small arrow at the bottom of the field.
• Two "energy plots". The upper one is programmed to display the energy levels in a single well, the bottom of five wells. You can move the "wires" if you want to see the example of 2, 3 or 4 wells.

1. How many bound states are there for a single well? How many are there for the five wells? This is most easily seen by changing "$N_{eigenstates}$" in "Energy plot". Start with the value 1 and then gradually increase the value.
4. You can also look at the individual wave functions by clicking on $\{\psi_n\}$ in the "Energy plot". How do the wave functions next to the five wells compare to the case of a single well?