A particle of spin 1 and a particle of spin 1/2 are in a configuration for which the total spin is equal to 1/2. If one were to measure the z-component of the spin of the particle with spin=1, what values might one get and what are the probabilities associated with those values?

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TRQ. 3 Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/ literature. Question: A particle of spin 1 and a particle of spin 1/2 are in a configuration for which the total spin is equal to 1/2. If one were to measure the z-component of the spin of the particle with spin=1, what values might one get and what are the probabilities associated with those values?
Expert Solution
Step 1

Given data :

Spin of the particle first=  1/2

Spin of the particle second =  1 .

total spin equal = 1/2 

To Find : 

Z component of particle with spin 1 

And Probability associated with it 

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