Total angular momentum operator (source code)

= Total angular momentum operator
{title2=$\mathbf J=\sum_i\mathbf J_i$}

For a composite quantum system, the total angular momentum operator is the sum of the constituent angular momenta, with each summand acting on its own tensor factor. Its simultaneous eigenstates with $J_z$ organize the state space into <total-spin sector>[total-spin sectors].