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It is given that wave functions of electron having the spin component, along some axis, equal to \(\pm1/2\) are given by
\[ \chi_+ = \begin{pmatrix}3\\4\end{pmatrix}; \qquad \chi_- =\begin{pmatrix}4\\-3\end{pmatrix} \]
- Find the ratio of probability that spin along \(X\)- axis will be \(\frac{1}{2}\) to the probability that it will be \(-\frac{1}{2}\).
- Find the average value of \(S_x\).
- Compute the uncertainty \(\Delta S_x\) in the \(X\)- component of spin.
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4727:Diamond Point
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