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Transcribed Image Text:d²
Let  = Consider the orthonormal basis:
dx²
|1) = ₁(x) =
[2) = ₂(x) =
√sin(x)
L
2π
sin
and
(a) Find Â1) and Â12).
The operator  can be expressed in a matrix form as follows:
 = a₁1)(1| + a₁21)(2 + a21 2)(1| + a2212X<21.
(b) Use part (a) to compute: amn= (m|Â\n); m, n = 1,2.
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Part a)
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