Abstract
By introducing superfluous co-ordinates a method is demonstrated for treating the problem of combined collective and individual particle aspects of nuclear structure. The application to the case of the center of mass gives a simple exposition of the method and rigorously defines conditions for the validity of the usual shell-model assumptions regarding the center of mass. The application to rotation gives results similar to those obtained by A. Bohr using a hydrodynamical model and by Inglis using a classical rotating shell model. The present treatment is rigorous except for the fundamental shell-model assumption, the replacement of the inter-particle potential by a single-particle potential which may not be spherically symmetric.
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