Thus the matrix representation of S, is given by 0 √3 5,= + Sx (Ŝ+ + Ŝ_) · 1/² ħ 2 √30 02 0 0 0 2 0 √3 (0 0 √30) **** "N 3.24. A spin- particle is in the state 12/1) S- basis N 3 4i (a) Determine a value for N so that ) is appropriately normalized. (b) What is (S.) for this state? Suggestion: The matrix representation of S, is given in Example 3.4. (c) What is the probability that a measurement of S, will yield the value ħ/2 for this state?

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Chapter8: Atomic Structure
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I need help with part c. I provided the matrix representation from example 3.4 for your reference.

Thus the matrix representation of S, is given by
0
√3
5,= +
Sx
(Ŝ+ + Ŝ_) ·
1/²
ħ
2
√30
02
0
0
0
2
0
√3
(0 0 √30)
**** "N
Transcribed Image Text:Thus the matrix representation of S, is given by 0 √3 5,= + Sx (Ŝ+ + Ŝ_) · 1/² ħ 2 √30 02 0 0 0 2 0 √3 (0 0 √30) **** "N
3.24. A spin- particle is in the state
12/1)
S- basis
N
3
4i
(a) Determine a value for N so that ) is appropriately normalized.
(b) What is (S.) for this state? Suggestion: The matrix representation of S, is
given in Example 3.4.
(c) What is the probability that a measurement of S, will yield the value ħ/2 for
this state?
Transcribed Image Text:3.24. A spin- particle is in the state 12/1) S- basis N 3 4i (a) Determine a value for N so that ) is appropriately normalized. (b) What is (S.) for this state? Suggestion: The matrix representation of S, is given in Example 3.4. (c) What is the probability that a measurement of S, will yield the value ħ/2 for this state?
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