Example 8.3.4: Consider the spin state of an electron in the previous problem. (a) Find the expectation values of Sx, Sy and S₂. (b) Find the uncertainties in the measurements of the observables Sx, Sy and $₂.

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Example 8.3.4 Quantum Mechanics
Example 8.3.4: Consider the spin state of an electron in the previous problem. (a) Find the
expectation values of Sx, Sy and S₂. (b) Find the uncertainties in the measurements of the
observables Sx, Sy and $₂.
Transcribed Image Text:Example 8.3.4: Consider the spin state of an electron in the previous problem. (a) Find the expectation values of Sx, Sy and S₂. (b) Find the uncertainties in the measurements of the observables Sx, Sy and $₂.
Example 8.3.3: An electron is in the spin state
x-^ ( ₂ ).
X A
(8.3.50)
(a) Find the constant A. (b) If a measurement of S₂ is made on the electron, what is the
probability of getting the value S₂ = -2? (c) If, instead, a measurement of Sy is carried
out, what is the probability of getting the value Sy = ½?
Transcribed Image Text:Example 8.3.3: An electron is in the spin state x-^ ( ₂ ). X A (8.3.50) (a) Find the constant A. (b) If a measurement of S₂ is made on the electron, what is the probability of getting the value S₂ = -2? (c) If, instead, a measurement of Sy is carried out, what is the probability of getting the value Sy = ½?
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