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Multiple choice
Degenerate perturbation theory diagonalizes the 2x2 matrix
[
a
b
b
d
]
\begin{bmatrix}a & b \\ b & d\end{bmatrix}
[
a
b
b
d
]
with
a
=
0
,
b
=
0.2
,
d
=
0
a = 0, b = 0.2, d = 0
a
=
0
,
b
=
0.2
,
d
=
0
. The eigenvalues are mean
±
(
(
a
−
d
)
/
2
)
2
+
b
2
\pm \sqrt{((a-d)/2)^2 + b^2}
±
((
a
−
d
)
/2
)
2
+
b
2
. What is the larger (
λ
+
\lambda_+
λ
+
) eigenvalue?
0.4
0.2
0.1
0.04
Check answer