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We’re going to work out some things about the algebra of a spin-1 particle. First, note...

We’re going to work out some things about the algebra of a spin-1 particle. First, note that there are three eigenstates of Sz for the spin one particle, with eigenvalues 0,±h̄. Let’s denote the orthonormal basis states |+ 1〉, |0〉, and |− 1〉, with eigenvalues +h̄, 0, and −h̄ respectively.

a What are the values of the below expressions?

Sz|+1〉 =

Sz|0〉 =

Sz|−1〉 =

0 0
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Eigenvalue equations of Sz operator for spin 1 particle

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