I am trying to perform the operation a on a translated Gaussian, ie. the ground state of the simple harmonic oscillator (for which the ground state eigenfunction is e^-((x/xNot)^2). First, I was able to confirm just fine that a acting on phi-ground(x) = 0. But when translating by xNot, so a acting on phi-ground(x-xNot), I am supposed to get a acting on phi-ground(x-xNot) = C*phi-ground(x-xNOT). But I am getting a acting on phi-ground(x-xNot) = + C1 * phi-ground(x-xNot) + C2 * x * phi-ground(x-xNot) ---so I appear to be doing something wrong, as I am getting the second (linearly independent) term, which is the discrepancy between what I was told was the answer. Can anyone help? Thanks!