Other Observables in Rotating Systems

There are other observables to consider, starting with the total angular momentum. The operator is L, so the eigenvalue will be the square of the total angular momentum. Because the total energy can be written in terms of the square of the 

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The square of the total angular momentum has the value T( + 1). The total angular momentum is the square root of this expression, so the total, three-dimensional angular momentum of any state described by the quantum numbers 

The total angular momentum is not dependent on the quantum number. Nor is it dependent on the mass of the particle, the dimension of the sphere, or the radius of rotation r. These ideas are again counter to the concepts of classical mechanics. 

What are the total angular momenta of an electron in the T = 4 and T = 5 states of Cgo (see Example 11.17 above)  

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