Solution
= Solution
<Coherent state> evolution gives
$$
|\alpha(t)\rangle=e^{-i\omega t/2}|\alpha e^{-i\omega t}\rangle.
$$
The condition from part (d) becomes
$$
\boxed{\Re(\alpha e^{-i\omega t})=0.}
$$
= Solution
<Coherent state> evolution gives
$$
|\alpha(t)\rangle=e^{-i\omega t/2}|\alpha e^{-i\omega t}\rangle.
$$
The condition from part (d) becomes
$$
\boxed{\Re(\alpha e^{-i\omega t})=0.}
$$