Spin obeys commutation relations analogous to those of the orbital angular momentum: [ S j , S k ] = i ℏ ε j k l S l {\displaystyle \left[S_{j},S_{k}\right]=i\hbar \varepsilon _{jkl}S_{l}} where ε jkl is the Levi-Civita symbol .
orbital part L and an (abstract) spin operator S then it is natural to expect that the total angular momentum J should obey the same kind of commutation relations.
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In quantum symmetry approach, we obtain the energy and momentum spectrum of the quantum spin chain model related with the spin representation from these commutation relations. Now on home page ads
the equal-time anticommutation relations (ETaCR) for spinor fields. rotations -- Commutation relations -- Total angular momentum -- Spin -- 4.2.
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Because spin is a type of angular momentum, it is reasonable to suppose that it possesses similar properties to orbital angular momentum.