Abstract

After a penetrating analysis of the known number–phase commutative relations we find that the common eigenvector |η of two particles' relative coordinate and total momentum also embodies the entanglement with respect to the correlative amplitude–operational phase. Based on the fact that the number-difference operator is the canonical conjugate to the Noh–Fougeres–Mandel operational phase operator, the corresponding entanglement is also briefly discussed.

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