1. The problem statement, all variables and given/known data Calculate the third and fourth hermite polynomials 2. Relevant equations (1/√n!)(√(mω/2ħ))n(x - ħ/mω d/dx)n(mω/πħ)1/4 e-mωx2/2ħ ak+2/ak = 2(k-n)/((k+2)(k+1)) 3. The attempt at a solution i kind of understand how how to find the polynomials using the first equation up to n=1. I'm not sure i want to attempt to find it with n=3 because that will make (x - ħ/mω d/dx)n raised to the 3rd power. and then the 4th power. we are provided with the second equation but i don't understand how to use it. there is an example in the book (townsend) and does the first 3 polynomials but the example makes no sense to me. can anyone provide me with some insight?