Another example Using the \( (1/2)^4 \) single-particle space, resulting in eight single-particle states

and then taking only 4-particle, \( M=0 \) states that have no `broken pairs', there are six basis Slater determinants:

• \( | 1, 2 , 3 , 4 \rangle , \)
• \( | 1 , 2 , 5 , 6 \rangle , \)
• \( | 1 , 2 , 7 , 8 \rangle , \)
• \( | 3 , 4 , 5 , 6 \rangle , \)
• \( | 3 , 4 , 7 , 8 \rangle , \)
• \( | 5 , 6 , 7 , 8 \rangle \)