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Calculate (S), (Sy), and (S2) for the state3+z) +-z)22

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Calculate (S), (Sy), and (S2) for the state
3
+z) +
-z)
2
2
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Calculate (S), (Sy), and (S2) for the state 3 +z) + -z) 2 2

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Step 1

Expectation value of Sx is,

3 0 11
21 03
2
2
0
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3 0 11 21 03 2 2 0

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Step 2

Expectation value of Sy is,

51 Го -
2
2
+
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51 Го - 2 2 +

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Step 3

Expectation value of Sz...

31 0
2 0 -1
(S.)
2
2
1 3
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31 0 2 0 -1 (S.) 2 2 1 3

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