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Hamiltonian of an axially symmetric rotator acting on a state |lm) is given by: H = 21 212 where I, and Iz are the moments of inertia and Ly, Ly and L, are components of the angular momentum operator. a) Find expectation values of H. b) In the case of a rigid rotator (i.e., I, = 1½ = I ), find the energy expression and the corresponding degeneracy relations. c) Calculate the orbital quantum number / and the corresponding energy degeneracy of the rotator where the magnitude of the total angular momentum is v30h.
Transcribed Image Text:Hamiltonian of an axially symmetric rotator acting on a state |lm) is given by: H = 21 212 where I, and Iz are the moments of inertia and Ly, Ly and L, are components of the angular momentum operator. a) Find expectation values of H. b) In the case of a rigid rotator (i.e., I, = 1½ = I ), find the energy expression and the corresponding degeneracy relations. c) Calculate the orbital quantum number / and the corresponding energy degeneracy of the rotator where the magnitude of the total angular momentum is v30h.
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