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The first-order correction to a state mixes in a neighbor with coefficient
c
1
=
⟨
1
∣
H
′
∣
0
⟩
/
(
E
0
−
E
1
)
c_1 = \langle 1|H'|0\rangle/(E_0 - E_1)
c
1
=
⟨
1∣
H
′
∣0
⟩
/
(
E
0
−
E
1
)
. With coupling
⟨
1
∣
H
′
∣
0
⟩
=
0.6
\langle 1|H'|0\rangle = 0.6
⟨
1∣
H
′
∣0
⟩
=
0.6
,
E
0
=
1
E_0 = 1
E
0
=
1
, and
E
1
=
4
E_1 = 4
E
1
=
4
, what is
c
1
c_1
c
1
?
0.2
-0.6
-0.2
-0.15
Check answer