The form of the Schrodinger equation should look very familiar. Indeed, we have seen it when considering standing waves considered by several other topics including (but not limited to) wave mechanics on strings, standing sound waves in a tube, and E&M waves in a blackbody cavity. Thus, one possible general solution to this function should be a harmonic oscillator, which is a combination of sine and cosine functions 1p(x) = Asinkx + Bcoskx. Once we have formed the Schrodinger equation and determined a possible solution, we must apply boundary conditions to determine the unknown values, in this case A, B, and k. This solution has generated the set of solutions to having a particle in this potential nTI In(x) = An sin where n = 1,2,3