In this problem we represent the spin eigenfunctions and operators as vectors and matrices. a. The spin
Question:
a. The spin eigenfunctions are often represented as the column vectors
Show that α and β are orthogonal using this representation.
b. If the spin angular momentum operators are represented by the matrices
show that the commutation rule [ŝx ,ŝy] = ihŝz holds.
c. Show that
d. Show that α and β are eigenfunctions of ŝz and ŝ2. What are the eigenvalues?
e. Show that α and β are not eigenfunctions of ŝx and ŝy.
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Step by Step Answer:
a Using the rules of matrix multiplication Therefore and are o...View the full answer
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