An electron is in the spin state (a) Determine the normalization constant A (b) Find the expectation values of S x , S y , and S z (c) Find the uncertainties S x , S y , and S z (d) Confirm that your results are consistent with all three uncertainty principles (Equation 4 100 and its cyclic permutationsonly with S in place of L, of course) Equation 4 100 A (4) X

Question: An electron is in the spin state (a) Determine the normalization constant A. (b) Find the expectation values of S x , S y ,

An electron is in the spin state

= A (4) X (a) Determine the normalization constant A.
(b) Find the expectation values of S_x, S_y, and S_z.
(c) Find the “uncertainties” σS_x, σS_y, and σS_z.

(d) Confirm that your results are consistent with all three uncertainty principles (Equation 4.100 and its cyclic permutations—only with S in place of L, of course).

Equation 4.100

= A (4) X

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