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Multiple choice
In time-dependent perturbation theory the Hamiltonian is written as
H
(
t
)
=
H
0
+
H
′
(
t
)
H(t) = H_0 + H'(t)
H
(
t
)
=
H
0
+
H
′
(
t
)
, and the exact state is expanded as
∣
Ψ
(
t
)
⟩
=
∑
n
c
n
(
t
)
e
−
i
E
n
t
/
ℏ
∣
n
⟩
|\Psi(t)\rangle = \sum_n c_n(t) e^{-i E_n t / \hbar} |n\rangle
∣Ψ
(
t
)⟩
=
∑
n
c
n
(
t
)
e
−
i
E
n
t
/ℏ
∣
n
⟩
. What does
∣
c
n
(
t
)
∣
2
|c_n(t)|^2
∣
c
n
(
t
)
∣
2
represent?
The probability of finding the system in the unperturbed eigenstate
∣
n
⟩
|n\rangle
∣
n
⟩
at time
t
t
t
The strength of the perturbation
H
′
(
t
)
H'(t)
H
′
(
t
)
at time
t
t
t
The time-independent expectation value of
H
0
H_0
H
0
The energy
E
n
E_n
E
n
of the eigenstate
∣
n
⟩
|n\rangle
∣
n
⟩
Check answer