y normalizing a, determine co.
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pls answer d and e
![The coherent states a) of a quantum harmonic oscillator are states that minimizes
the uncertainty product, i.e. ₂0p = h/2. These states are eigenfunctions of the
lowering operator â, that is
â|a) = ala),
where the eigenvalue a can be a complex number.
(a) Determine (r), and (²) in the state la) (4 pts).
(b) Determine (p), and (p²) in the state la) (4 pts).
(c) Show that σ₂0p = ħ/2 (2 pts).
The coherent state la) can be expressed as
|a) = [cn |n),
n=0
where [n)'s are the harmonic oscillator eigenstates.
(d) Show that (3 pts)
Cn =
(e) By normalizing a, determine co. (2 pts)
Co.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe91af5fd-2f69-4491-a07d-aaacef1e5810%2Fed680dfa-9033-49d2-8fc8-139666c04ff2%2Fwc91w9_processed.png&w=3840&q=75)
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