Consider the following for a spin 1/2 system: Show that S2 and S, are compatible observables. All required commu- (a) tation relations and identities are in the useful information. (b) where a and B are complex numbers such that |a|+\B]² = 1. x+ and x- are given in the useful information. What is the expectation value of (Sª)? What is the probability of measuring ħ/2 for S„? A large collection of spin-1/2 particles are all in the state x = aX++Bx-
Consider the following for a spin 1/2 system: Show that S2 and S, are compatible observables. All required commu- (a) tation relations and identities are in the useful information. (b) where a and B are complex numbers such that |a|+\B]² = 1. x+ and x- are given in the useful information. What is the expectation value of (Sª)? What is the probability of measuring ħ/2 for S„? A large collection of spin-1/2 particles are all in the state x = aX++Bx-
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Transcribed Image Text:Consider the following for a spin 1/2 system:
Show that S? and S, are compatible observables. All required commu-
(a)
tation relations and identities are in the useful information.
(b)
where a and ß are complex numbers such that |a| +\B|² = 1. x+ and x- are given
in the useful information. What is the expectation value of (S½)? What is the
probability of measuring ħ/2 for S„?
A large collection of spin-1/2 particles are all in the state x = ax++Bx-
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