2 For a translationally invariant system in one dimension with the Hamiltonian that satisfies f(x + a) = R(x), where a i

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2 For A Translationally Invariant System In One Dimension With The Hamiltonian That Satisfies F X A R X Where A I 1 (12.36 KiB) Viewed 12 times

2 For a translationally invariant system in one dimension with the Hamiltonian that satisfies f(x + a) = R(x), where a is a constant displacement Does the translation operator, given by T, (x) (x + a), commute with the Hamiltonian? Show either way. Note that the translation operator is a unitary operator.