Question: Construct |S ? n; +) such that S ? n | S ? n; + > = ( h /2) |S ? n; +> where

Construct |S ? n; +) such that S ? n | S ? n; + > = (h/2) |S ? n; +> where ? is characterized by the angles shown in the figure. Express your answer as a linear combination of | + > and |? >. [Note: The answer is cos (?/2) | + > + sin (?/2) e ^l? | ? >. But do not just verify that this answer satisfies the above eigenvalue equation. Rather, treat the problem as a straightforward eigenvalue problem. Also do not use rotation operators, which we will introduce later in this book.]

Construct |S ? n; +) such that S ? n | S

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