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0
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2
answers
462
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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 …
4
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4
answers
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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 …