The key part of this week is looking at wave functions and what they mean.
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.