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== Alternative expressions ==
The Kermack–McCrae identity (named after [[William Ogilvy Kermack]] and [[William McCrea (astronomer)|William McCrea]]) gives two alternative ways to express the displacement operator:
:<math>\hat{D}(\alpha) = e^{ -\frac{1}{2} | \alpha |^2 } e^{+\alpha \hat{a}^{\dagger}} e^{-\alpha^{*} \hat{a} } </math>
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