Full Basis of Angular Momentum Eigenstates

[Werner Rontgen]

Homework Statement

Consider the case of an atom with two unpaired electrons, both of which are in s-orbitals. Write the full basis of angular momentum eigenstates representing the coupled and uncoupled representations

Homework Equations

l=r×p
l_x=yp_z-zp_y
l_y=zp_x-xp_z
l_z=xp_y-yp_x

l⁺=l_x+il_y
l^-=l_x-il_y

The Attempt at a Solution

I am not sure how to start. If I am correct I already wrote a complete basis for l.

 

[stevendaryl]

Homework Statement

Consider the case of an atom with two unpaired electrons, both of which are in s-orbitals. Write the full basis of angular momentum eigenstates representing the coupled and uncoupled representations

Homework Equations

l=r×p
l_x=yp_z-zp_y
l_y=zp_x-xp_z
l_z=xp_y-yp_x

l⁺=l_x+il_y
l^-=l_x-il_y

The Attempt at a Solution

I am not sure how to start. If I am correct I already wrote a complete basis for l.

Well, the problem statement says that the electrons are in "s-orbitals". That means that the orbital angular momentum is zero. So the only relevant angular momentum is spin angular momentum, I would think.