1. We define the product of operators by composition. That is, AB|4) = A(B\)). Show that, for the two-level atom, the evolution operator satisfies U(t) = U(t – s)U(s).

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1. We define the product of operators by composition. That is,
AB|) = A(B\»)).
Show that, for the two-level atom, the evolution operator satisfies
U(t) = U(t – s)U(s).
Transcribed Image Text:1. We define the product of operators by composition. That is, AB|) = A(B\»)). Show that, for the two-level atom, the evolution operator satisfies U(t) = U(t – s)U(s).
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