Problem 4. Construct the ket |S· în; +) such that S.âî|S · î; +) = (h/2)|S · în; +), (1) where în is a unit vector with polar angle B and azimuthal angle a, and S is the vector spin operator. Express your answer as a linear combination of |+) and |-). Hint: Treat this as an eigenvalue problem.
Problem 4. Construct the ket |S· în; +) such that S.âî|S · î; +) = (h/2)|S · în; +), (1) where în is a unit vector with polar angle B and azimuthal angle a, and S is the vector spin operator. Express your answer as a linear combination of |+) and |-). Hint: Treat this as an eigenvalue problem.
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Transcribed Image Text:Problem 4. Construct the ket |S· în; +) such that
S.âî|S · î; +) = (h/2)|S · în; +),
(1)
where în is a unit vector with polar angle B and azimuthal angle a, and S is the vector spin operator.
Express your answer as a linear combination of |+) and |-). Hint: Treat this as an eigenvalue
problem.
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