Exact treatment of collective rotations. Part B. Applications (in German)
Some applications and conclusions of the theory for collective rotations of quantum mechanicai systems are considered. The consequences of a body-fixed coordinate-system lying in the principal axes of inertia are investigated. It is found that for this choice in general no specifi c 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 an n- body system to the rigid body is carried out. The symmetry conditions of systems with identical particles are treated. Especially studied is the question of how to define the optimal body-fixed frame of reference in a system of independent identical particles. Finally the results of the exact theory of collective rotations are compared with the results of the cranking model and it is found that only in the limit of an infinitely heavy core the cranking model leads to an exact expression for the moment of inertia. (GE)
- Research Organization:
- Erlangen-Nuernberg Univ., Erlangen, Ger.
- NSA Number:
- NSA-29-019799
- OSTI ID:
- 4332015
- Journal Information:
- Z. Naturforsch., a, v. 28a, no. 9, pp. 1500-1515, Journal Name: Z. Naturforsch., a, v. 28a, no. 9, pp. 1500-1515; ISSN ZENAA
- Country of Publication:
- Germany
- Language:
- German
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