5. [5] Kets (state vectors). Consider the following three (candidate) state vectors: |₁) = 3| +) 4|-) |4₂) = 2|+) + i|-) -in |3)=+)-2 e 4 |-) d) [2] For JUST state [43), find the probability that the spin component will be "up" along the Y-direction. Use bra-ket notation in your calculations. Be careful, there is some nasty complex- number arithmetic required on this one that is very important, and people frequently make mistakes on it that change the answer significantly!
5. [5] Kets (state vectors). Consider the following three (candidate) state vectors: |₁) = 3| +) 4|-) |4₂) = 2|+) + i|-) -in |3)=+)-2 e 4 |-) d) [2] For JUST state [43), find the probability that the spin component will be "up" along the Y-direction. Use bra-ket notation in your calculations. Be careful, there is some nasty complex- number arithmetic required on this one that is very important, and people frequently make mistakes on it that change the answer significantly!
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![5. [5] Kets (state vectors). Consider the following three (candidate) state vectors:
|4₁) = 3| +) − 4 |−)
|4₂) = 2| +) + i]−)
-in
|3) | +) 2 e 4 |-)
d) [2] For JUST state [43), find the probability that the spin component will be "up" along the
Y-direction. Use bra-ket notation in your calculations. Be careful, there is some nasty complex-
number arithmetic required on this one that is very important, and people frequently make
mistakes on it that change the answer significantly!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b00a09c-5597-457d-8151-edd0c392eea7%2F2bfb878f-1541-4f19-80bc-8f13ff457d09%2F47hgzdm_processed.png&w=3840&q=75)
Transcribed Image Text:5. [5] Kets (state vectors). Consider the following three (candidate) state vectors:
|4₁) = 3| +) − 4 |−)
|4₂) = 2| +) + i]−)
-in
|3) | +) 2 e 4 |-)
d) [2] For JUST state [43), find the probability that the spin component will be "up" along the
Y-direction. Use bra-ket notation in your calculations. Be careful, there is some nasty complex-
number arithmetic required on this one that is very important, and people frequently make
mistakes on it that change the answer significantly!
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Step 1: Spin-Y Basis
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