# Do the Creation Operator and Spin Projection Operator Commute?

by Morberticus
Tags: commute, creation, operator, projection, spin
 P: 81 I have bumped into a term $a^\dagger \hat{O}_S | \psi \rangle$ I would really like to operate on the slater determinant $\psi$ directly, but I fear I cannot. Is there any easy manipulation I can perform?