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Question

Form the operator A^2\hat{A}^2 if A^=d2/dy2+3y(d/dy)5\hat{A}=d^2 / d y^2+3 y(d / d y)-5. Be sure to include an arbitrary function on which the operator acts.

Solution

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Answered 1 year ago
Answered 1 year ago
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Given operator,

A^=d2dy2+3yddy5\hat{A}=\frac{d^2}{dy^2}+3y\frac{d}{dy}-5

We need to construct the operator A^2\hat{A}^2.

Let us choose an arbitrary function f(y)f(y), which acts on the operator.

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