In general, a system of quantum particles can never behave even approximately like a rigid body, but non-spherical nuclei and molecules are exceptions, and have certain rotational energy levels that are well described as states of a rigid rotator whose Hamiltonian is 21 where I is the moment of inertia, and L is the angular momentum operator.
In general, a system of quantum particles can never behave even approximately like a rigid body, but non-spherical nuclei and molecules are exceptions, and have certain rotational energy levels that are well described as states of a rigid rotator whose Hamiltonian is 21 where I is the moment of inertia, and L is the angular momentum operator.
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Transcribed Image Text:5. In general, a system of quantum particles can never behave even approximately like a rigid
body, but non-spherical nuclei and molecules are exceptions, and have certain rotational
energy levels that are well described as states of a rigid rotator whose Hamiltonian is
H =
21
where I is the moment of inertia, and L is the angular momentum operator.
What are the eigenvalues of the angular momentum operator?
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