X-component of angular momentum, Lx, acting on |n,l,m>

[samee]

Homework Statement

I need to know what the eigen value of Lx would be if, Lx|n,l,m>.

Homework Equations

L_+-=Lx+-iLy
L²=L_x²+L_y²+L_z²
L_z|n,l,m>=mhbar|n,l,m>
L|n,l,m>=l(l+1)hbar²|n,l,m>

The Attempt at a Solution

I have a mixed state I need to apply L_x tp, but I'm not sure how! If anyone known how to put this in terms of L, L_z, or L_+-, I would really appreciate the help!

 

[kuruman]

Express L_x in terms of L₊ and L _-, then operate on |n,l,m> and see what you get.