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Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 3
/
33B
/
Solution
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)
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Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2019
ii
Paper 3
33B
2026-10-03
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For
a
normalized
eigenstate
∣
n
⟩
with
a
nondegenerate energy eigenvalue
,
first-order nondegenerate perturbation theory
and
second-order nondegenerate perturbation theory
give
E
n
(
H
)
=
E
n
+
⟨
n
∣
V
∣
n
⟩
+
m
=
n
∑
E
n
−
E
m
∣
⟨
m
∣
V
∣
n
⟩
∣
2
+
O
(
V
3
)
.
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33B
Paper 3
ii
2019
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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