Prove that the magnitude of the orbital angular momentum is limited to the values VTI +...

 

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Prove that the magnitude of the orbital angular momentum is limited to the values VTI + 1)h, 1 = 0, 1,2, , L = and that any one vector component of L, Lz say, is restricted to the values L; = m,h, mį = -1, -l+ 1,...1- 1,l. Prove that the magnitude of the orbital angular momentum is limited to the values VTI + 1)h, 1 = 0, 1,2, , L = and that any one vector component of L, Lz say, is restricted to the values L; = m,h, mį = -1, -l+ 1,...1- 1,l.