Abstract
A simple one-particle model is used to investigate whether a real physical rotation necessarily exists in systems having rotational energy spectra, i.e., spacings which are proportional to J( J + 1). The model has rotational energy spectra and can be solved exactly in terms of rotational and intrinsic coordinates. However, many properties of these states are quite different from those expected in a rotational band. The physical meaning of the model is discussed, using a classical treatment. A real physical rotation is demonstrated, but the intrinsic motions of states within the same band are not simply related. The possibility of the presence of such effects in real nuclei is considered.
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