In the main text we discussed the effect of T (dx) on the position and momentum eigenkets
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In the main text we discussed the effect of T (dx’) on the position and momentum eigenkets and on a more general state ket | α >. We can also study the behavior of expectation values < x > and < p > under infinitesimal translation. Using (1.6.25), (1.6.45), and | α >) → T(dx’) | α> only, prove <x> → <x> + dx’, (p) → <p> under infinitesimal translation.
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