Potential Energy in the quantum SHO

Here I review the SHO from Griffiths, with a touch of Dirac notation. This problem is incredibly useful in highlighting SHO problems and their approach using the creation annihilation operators. I also mean for this to provide a bit of a stepping stone into Dirac notation, while leaving the wave function approach to Griffiths for readers to review to in order to see how this notation actually works.