# Measuring the x magnetic moment

1. Jan 3, 2006

### fargoth

if $$L_z|Y_l^m>=m|Y_l^m>$$
whats my possible values for $$L_x(A|Y_0^0>+B|Y_1^0>+C|Y_2^0>)$$?
i thought id use $$L_x=\frac{L_++L_-}{2}$$, create a matrix that would be block diagonal (a block for every l) and then i should find the eigenvalues for every block and say these are the values id get from measuring L in the x direction... am i correct?
does this mean there are more then one Y that can give with some probability the same value of L in the x direction?
and can one Y give with some probability one value and with some probability a different value for L in the x direction?