The wave function is used to determine various properties in physics. One of them is the probability of where a particle (usually an electron) is at one point in time. So let's look at the wave function for the infinite square well. This is given as:
Where L is the width of the well, x is the position and n is the integer order of the wave function. So please plot this and |ψ|2 for n = 1, 2 and 3 and see if there is correlation here between the values.
At what points do they connect here?
Construction Point: Use Excel to make these plots and for simplicity let L = 1 and then run x from 0 to 1 in steps of 0.05.