Prove the result in Eq. (15.13) that the (P_{mu}) defined in Eq. (15.12) are generators of translations.

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Prove the result in Eq. (15.13) that the \(P_{\mu}\) defined in Eq. (15.12) are generators of translations. Remember that \(\partial^{\alpha} x_{ho}=\eta_{ho}^{\alpha}=\delta_{ho}^{\alpha}\).

Data from Eq. 15.12

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Data from Eq. 15.13

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