A particle of spin 1/2 and a particle of spin 1 are in configuration with total spin equal to 3/2 and with the z-component of the total spin equal to 1/2 (state |,5)). If you could measure the z-component of the spin of the spin-1 particle, what values would you get and what are the probabilities associated with each one of those values?
A particle of spin 1/2 and a particle of spin 1 are in configuration with total spin equal to 3/2 and with the z-component of the total spin equal to 1/2 (state |,5)). If you could measure the z-component of the spin of the spin-1 particle, what values would you get and what are the probabilities associated with each one of those values?
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Q1.2) Answer question completely and with much detail as possible. Need to understand the concept.
Transcribed Image Text:A particle of spin 1/2 and a particle of spin 1 are in configuration with total spin equal to 3/2 and with the
z-component of the total spin equal to 1/2 (state |,)).
If you could measure the z-component of the spin of the spin-1 particle, what values would you get and
what are the probabilities associated with each one of those values?
Expert Solution
Step 1
Given,
the spin of the two particles are and 1.
For the spin 1 particle, its z components are
And the z-components of spin particle is .
And clearly, the interval between z-components is 1 for both spin particles.
Since the total spin written as
or
S1 is for the first particle and S2 is for the second particle
then total spin is
And
For total spin , the z-components are
And from the question, the system configures the total spin with its z-comonent .
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