Collective spin from the linearization of the Schrödinger equation in multidimensional Riemannian spaces used in collective nuclear models

authors: R. Herrmann, G. Plunien, M. Greiner, W. Scheid

abstract:
The free Schrödinger equation in Riemannian collective spaces with an arbitrary number of dimensions is linearized. The coupling of external fields is discussed. The operators to classify collective spin states are introduced and the collective Pauli equation is derived.

reference:International Journal of Modern Physics A, Volume 4, Issue 18, pp. 4961-4975 (1989).