# Finding by what factor two operators differ

1. Nov 26, 2012

### H.fulls

1. The problem statement, all variables and given/known data
I have two operators
$\hat{A}^{2}$$\hat{B}^{2}$+$\hat{B}^{2}$$\hat{A}^{2}$

1/2($\hat{A}$$\hat{B}$+$\hat{B}$$\hat{A}$) $^{2}$

By what factor do the two operators differ?

3. The attempt at a solution
I believe I either have to find the inner products of them and relate them somehow or use commutation?
Not sure which one!
I dont want help with the maths as I really need to try figure that bit out myself! But im not quite sure what the question is asking me to do.

2. Nov 28, 2012

### andrien

try commutation,if given.