1. What are the possible values of the total spin for the combination of a S1=2 and S2=1 particle? 8 1 For the state: |3 1) = 12 :|22|1 - 1) + √35 12 11 0 +1 |20|11) 15 √15 15 What are the possible results of the measurement of the z-component of the s₁=2 particle ? What are the probabilities for each measurement? 2. Determine the commutator of S² with S₂(1), where S = S(¹) + S(2) What does this result mean?
1. What are the possible values of the total spin for the combination of a S1=2 and S2=1 particle? 8 1 For the state: |3 1) = 12 :|22|1 - 1) + √35 12 11 0 +1 |20|11) 15 √15 15 What are the possible results of the measurement of the z-component of the s₁=2 particle ? What are the probabilities for each measurement? 2. Determine the commutator of S² with S₂(1), where S = S(¹) + S(2) What does this result mean?
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Transcribed Image Text:1. What are the possible values of the total spin for the combination of a S1=2 and S2=1
particle?
8
1
For the state:
|3 1)
=
12
:|22|1 - 1) + √35 12 11 0 +1
|20|11)
15
√15
15
What are the possible results of the measurement of the z-component of the s₁=2
particle ?
What are the probabilities for each measurement?
2. Determine the commutator of S² with S₂(1), where
S = S(¹) + S(2)
What does this result mean?
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