Gruppentheoretische Untersuchungen zum Schalenmodell.

In a previous paper a grouptheoretical scheme for the classification of wavefunctions has been developed from a consideration of the group of all transformations, which leave the nuclear hamiltonian invariant thereby taking into account also accidental degeneracies. This scheme is applied here to a translation-invariant hamiltonian with harmonic oscillator forces. The existence of a shell structure for the ground states is proved and the quantum numbers and symmetry properties of the wavefunctions of the ground states and of some excited states are derived. If translation-invariance is neglected, spurious states appear. It is shown how their quantum numbers and symmetry properties can be determined. Some remarks on a translation-invariant formulation of the Elliot-model conclude the paper. [ABSTRACT FROM AUTHOR]