Abstract
The quantum mechanical description of a two dimensional rotating system of particles is studied for the purpose to elucidate the meaning of the effective moments of inertia of nuclei. We employ the method of transformations and obtain the rotational kinetic energy of a canonical ·.by introducing an internal angular momentum Lin . The Coriolis force arising from the coupling of Lit, with the rotational angular velocity is found to be responsible for the deviation of the moment ·Of inertia from its hydrodynamical value. The explicit form of Lin is given as a function of the positions and momenta of individual particles. This form of Lin should be used for deriving the ·effective moment of inertia. Comparison with the cranking model of Inglis is discussed.
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