Question:
Given:
s3|↑⟩=ℏ2|↑⟩ and s3|↓⟩=−ℏ2|↓⟩
Find
s31√2(|↑↓⟩−|↓↑⟩)
Solution:
Disclaimer: My answer is wrong.
It seems to be a really simple question, just apply the definitions.
s31√2(|↑↓⟩−|↓↑⟩)=1√2s3[|↑⟩−|↓⟩,|↓⟩−|↑⟩]=1√2[|ℏ2↑⟩+ℏ2|↓⟩,−ℏ2|↓⟩−ℏ2|↑⟩]=ℏ21√2[|↑⟩+|↓⟩,−|↓⟩−|↑⟩]
Now I am stuck, it appears the vector I get is not in the choices. For the exam, I guessed an answer, and got the wrong answer.
Given:
s3|↑⟩=ℏ2|↑⟩ and s3|↓⟩=−ℏ2|↓⟩
Find
s31√2(|↑↓⟩−|↓↑⟩)
Solution:
Disclaimer: My answer is wrong.
It seems to be a really simple question, just apply the definitions.
s31√2(|↑↓⟩−|↓↑⟩)=1√2s3[|↑⟩−|↓⟩,|↓⟩−|↑⟩]=1√2[|ℏ2↑⟩+ℏ2|↓⟩,−ℏ2|↓⟩−ℏ2|↑⟩]=ℏ21√2[|↑⟩+|↓⟩,−|↓⟩−|↑⟩]
Now I am stuck, it appears the vector I get is not in the choices. For the exam, I guessed an answer, and got the wrong answer.
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