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The coherent states for the one-dimensional harmonic oscillator are defined as eigenstates of the operator
of annihilation a (which is non-Hermitian):
a |λ⟩ = λ |λ⟩ (1)
where λ is a complex number in general.
a)prove that is a normalized consistent state.
b)Show that the above state satisfies the minimum uncertainty relation, i.e., show that
![A) = e-IAP/2eda" ]0)](https://content.bartleby.com/qna-images/question/86414fda-77af-44ab-9450-fd1f37fbe0f8/abac83fd-8a52-4226-bc71-95b63dd155a1/uhzpjy_processed.png)
Transcribed Image Text:A) = e-IAP/2eda" ]0)
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