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    How to understand current-density operator

    Dear all, There is a definition of current-density operator, and the form is as follows: j(r)=1/2iƩ[∇lδ(r-rl)+δ(r-rl)∇l] I cannot understand this form, because i think ∇ operator and δ operator are commutable. Another form of current-density operator can be found from this website...
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