30. Suppose ,m) is a common eigenvector of î² and ο . Then î²|l,m) = L₂|l,m) = Î+|l,m) = (1,m,m) (1,m|L₂|1',m) (1,m|L.. || ',m') =

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30. Suppose ,m) is a common eigenvector of î² and î₂ . Then
î²|l,m) =
Î₂|l,m) =
Î ± |l,m) =
=
(1,m|L²|1',m)
(1,m|L₂|I',m')
(1,m|L₂|1',m') =
=
Transcribed Image Text:30. Suppose ,m) is a common eigenvector of î² and î₂ . Then î²|l,m) = Î₂|l,m) = Î ± |l,m) = = (1,m|L²|1',m) (1,m|L₂|I',m') (1,m|L₂|1',m') = =
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Using property of angular momentum operator we can solve the problem as solved below 

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