Question

For a harmonic oscillator in the superposition stateY(x, t) z (4.(x, t) + 41(x,1)).
a) Find Y(x, t) at any time t and the probability density (x,0).
b) Find the expectation value of x and x? which is sinusoidal function of time.
c) Find the expectation value of p and p2 which is also a sinusoidal function of time.
d) Show that uncertainty principle remains in contact by finding the product of
ΔxΔp. .
e) ) What is the amplitude and angular frequency of the oscillation of the
expectation value of x and p?
Hint: In above question Y,(x,1) = n(x)e-1.t/h. Where , (x) =
arw 4
1
Hne
2in!
are the eigenstates and En
Tra
are the eigen energy of the of the harmonic oscillator. Here,
The first several Hermite polynomials H. (s) are:
H.(£) = 1
H, (E) = 2€
H2(E) = 462 - 2
(9.65)
uni​

Answer 1

Answer:

I dont know

Explanation:

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