APPROXIMATE ROTATIONAL QUANTIZATION AND THE PAULI PRINCIPLE

Approximate rotational quantisation is associated with imperfectly defined wavenumber and imperfect angular momentum conservation of a rotor interacting with its environment. Standard theories of hindered molecular groups like CH3 allow only perfect quantisation. We show that this is because they attribute two incompatible sets of properties to the nuclei of hydrogen atoms in a false version of the Pauli principle and are thereby restricted to a closed space inconsistent with environmental interaction. They conclude that environmental dynamics is constrained to preserve the perfect quantisation. The true Pauli principle is consistent with an open space and leads to approximate quantisation without symmetry constraint and to similarity with other transport theories.