- #1
nmsurobert
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Homework Statement
Calculate the third and fourth hermite polynomials
Homework 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))
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?