given as The operators of x-, y- and z-component of the spin of an electron are...

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given as The operators of x-, y- and z-component of the spin of an electron are 1/2 (16), su = 1/2 (13), Sy S₂ = 1/2 (1 Sz -9). = i 20 Sx The z-component of spin of the electron is measured and found to be ħ/2. (a) If a subsequent measurement is made for the x-component of the spin, what are the possible values and the probability of finding these values? (b) An operator Sn is defined as Sn = S, where S = (S2, Sy, S₂) and în = (sin cos o, sin sin o, cos 0). If a subsequent measurement is made for Sn, what are the possible values and the probability of finding these values? (c) What is the expectation value of Sn? given as The operators of x-, y- and z-component of the spin of an electron are 1/2 (16), su = 1/2 (13), Sy S₂ = 1/2 (1 Sz -9). = i 20 Sx The z-component of spin of the electron is measured and found to be ħ/2. (a) If a subsequent measurement is made for the x-component of the spin, what are the possible values and the probability of finding these values? (b) An operator Sn is defined as Sn = S, where S = (S2, Sy, S₂) and în = (sin cos o, sin sin o, cos 0). If a subsequent measurement is made for Sn, what are the possible values and the probability of finding these values? (c) What is the expectation value of Sn?