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I am examining Berry's original 1984 paper of geometrical phases. I am having trouble understanding a portion of it, however (which is attached as a photo). In particular, equation (6) appears to have a braket expression which includes the bra complex conjugate of a state, <n(R), along with a ket ∇n(R)>. My question is, how is the resulting expression (the integral over space? of the product of these functions) another vector (as it must be since it is included in a line integral)?
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