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An electron is in the spin state X = A (2 + ³i) (a) Determine the normalization constant A. (b) If S₂ is measured, what is the probability of getting the value ħ/2? (c) Calculate the average values of Sx, Sy, Sz, Sz, Sand S. (d) Show that the uncertainties in the measurements of S, and Sy satisfy the

An electron is in the spin state X = A (2 + ³i) (a) Determine the normalization constant A. (b) If S₂ is measured, what is the probability of getting the value ħ/2? (c) Calculate the average values of Sx, Sy, Sz, Sz, Sand S. (d) Show that the uncertainties in the measurements of S, and Sy satisfy the

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H.Question 5: Quantum Mechanics
5. An electron is in the spin state X = A ^ ( 2 + 3i 6 :) (a) Determine the normalization constant A. (b) If S₂ is measured, what is the probability of getting the value ħ/2? (c) Calculate the average values of Sx, Sy, Sz, S², and S. (d) Show that the uncertainties in the measurements of S, and Sy satisfy the Heisenberg uncertainty relation.
Transcribed Image Text:5. An electron is in the spin state X = A ^ ( 2 + 3i 6 :) (a) Determine the normalization constant A. (b) If S₂ is measured, what is the probability of getting the value ħ/2? (c) Calculate the average values of Sx, Sy, Sz, S², and S. (d) Show that the uncertainties in the measurements of S, and Sy satisfy the Heisenberg uncertainty relation.
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