function: e^-(x^2/2)
operator: d^2/dx^2 -x^2
The answer key says the function is an eigenfunction of the operator with an eigenvalue of -6.
I can't figure out how to reach this conclusion. Also, Wolfram Alpha says d/dx(d/(dx)e^(-x^2/2)) = e^(-x^2/2) (x^2-1). Isn't this inconsistent with...