phy-4600/book_notes/chap2/spin-1 system

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2016-02-12 17:26:39 +00:00
Eigenvalue Equations for Spin-1 System:
𝐒𝓏|1〉 = ħ|1〉
𝐒𝓏|0〉 = 0ħ|0〉
𝐒𝓏|-1〉 = ħ|-1〉
ħ ( 1 0 0 )
S𝓏 ≐ --- ( 0 1 0 )
√2 ( 0 0 1 )
ħ ( 0 1 0 )
S𝓍 ≐ --- ( 1 0 1 )
√2 ( 0 1 0 )
ħ ( 0 -ι 0 )
S𝓎 ≐ --- ( ι 0 -ι )
√2 ( 0 ι 0 )