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Multiple choice
A state has unperturbed energy
E
0
=
2
E_0 = 2
E
0
=
2
and a perturbation
H
′
H'
H
′
with matrix elements
⟨
0
∣
H
′
∣
0
⟩
=
0.4
\langle 0|H'|0\rangle = 0.4
⟨
0∣
H
′
∣0
⟩
=
0.4
and
⟨
1
∣
H
′
∣
0
⟩
=
0.3
\langle 1|H'|0\rangle = 0.3
⟨
1∣
H
′
∣0
⟩
=
0.3
; the other level sits at
E
1
=
5
E_1 = 5
E
1
=
5
. Through second order,
E
=
E
0
+
⟨
0
∣
H
′
∣
0
⟩
+
∣
⟨
1
∣
H
′
∣
0
⟩
∣
2
/
(
E
0
−
E
1
)
E = E_0 + \langle 0|H'|0\rangle + |\langle 1|H'|0\rangle|^2/(E_0 - E_1)
E
=
E
0
+
⟨
0∣
H
′
∣0
⟩
+
∣
⟨
1∣
H
′
∣0
⟩
∣
2
/
(
E
0
−
E
1
)
. What is
E
E
E
?
2.43
2.37
2.40
2.31
Check answer