Q13
The spin' function of a free particle, in the basis in which sz is diagonal can be written as \[ [ array*20c 1 \\ 0 array ]\] and \[ [ array*20c 0 \\ 1 array ]\] with eigen values \[ + /2\] and \[ - /2\] respectively. In the given basis, the normalized eigen function of sy with eigen value \[ - /2\] is
The spin' function of a free particle, in the basis in which sz is diagonal can be written as \left[ {\begin{array}{*{20}{c}}
1 \\
0
\end{array}} \right] and \left[ {\begin{array}{*{20}{c}}
0 \\
1
\end{array}} \right] with eigen values and respectively. In the given basis, the normalized eigen function of sy with eigen value is
A.
\frac{1}{{\sqrt 2 }}\left[ {\begin{array}{*{20}{c}}
1 \\
i
\end{array}} \right]
B.
\frac{1}{{\sqrt 2 }}\left[ {\begin{array}{*{20}{c}}
0 \\
i
\end{array}} \right]
C.
\frac{1}{{\sqrt 2 }}\left[ {\begin{array}{*{20}{c}}
i \\
0
\end{array}} \right]
AnswerD.
\frac{1}{{\sqrt 2 }}\left[ {\begin{array}{*{20}{c}}
i \\
1
\end{array}} \right]
Answer: Option C
Solution
Answer: Option C
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