# Translation operator problems

The translation operator S(a), for arbitrary constant real vector a, is defined such that...

a) Show, using the Taylor expansion of Φ(x-a) about x, that S(a) may be expressed in terms of the momentum operator p=.. Sum the expansion to give a simple closed-form expression for S(a).

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#### Solution Summary

A detailed solution is given. The translation operator problems are given. A closed-form expression sum is analyzed.

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