Spin-one Cartesian basis
= Spin-one Cartesian basis
The <spin-one Cartesian basis> $|x\rangle,|y\rangle,|z\rangle$ transforms as a three-dimensional vector under <rotations>. In its two-site tensor square, the scalar, antisymmetric, and symmetric traceless subspaces are respectively the total-spin $0$, $1$, and $2$ sectors.