Building a many-body basis

As another example, consider using only single particle states from the \( 0d_{5/2} \) space. They have the following quantum numbers

Index \( n \) \( l \) \( j \) \( m_j \)
1 0 2 5/2 -5/2
2 0 2 5/2 -3/2
3 0 2 5/2 -1/2
4 0 2 5/2 1/2
5 0 2 5/2 3/2
6 0 2 5/2 5/2