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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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2 answers
462 views

Translation operator properties

Can somebody can give me a hand with these properties demonstrations, I am missing something. Given the translation operator $T(dx)=1-ikdx$, where: $|\alpha'\rangle=T(dx)\vert\alpha\rangle$, 1) show …
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4 votes
4 answers
421 views

Why is the $\varepsilon^2$ term in an infinitesimal transformation equal to zero?

Given the unitary operator $U=1+i\varepsilon F$ (where $\varepsilon$ is an infinitesimal scalar), in order to prove that $F$ is Hermitian: $$\begin{align} UU^{\dagger} &= 1 \\ (1+i\varepsilon F) (1-i …
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