Zur exakten Behandlung von kollektiven Rotational Teil B: Anwendungen / On the Exact Treatment of Collective Rotations. Part B: Applications

Abstract

In part B we deal with some applications and conclusions of the theory for collective rotations of quantum mechanical systems which has been treated in part A. In the first section we investigate the consequences of a body-fixed coordinate-system lying in the principal axes of inertia. We find that for this choice in general no specific decoupling is obtained, and therefore the so-called hydrodynamic moments of inertia are always a lower limit for the real moments of inertia of a system. Further the transition from a n-body system to the rigid body is carried out. In another section the symmetry conditions of systems with identical particles are treated. Especially we study the question how to define the optimal body-fixed frame of reference in a system of independent identical particles. Finally we compare the results of our exact theory of collective rotations with the results of the cranking model and find that only in the limit of an infinitely heavy core the cranking model leads to an exact expression for the moment of inertia.