Abstract
An analysis is given of a number of assumptions underlying the collective model of the nucleus of A. Bohr. The connection between properties of the nucleus expressed in terms of collective coordinates and in terms of individual nucleon coordinates is studied. This is done both for the Hamiltonian and for the expressions for the magnetic moment, the quadrupole moment and matrix elements for nuclear transitions. A variational principle is used in order to derive the connection between the Bohr Hamiltonian for the motion of the surface of the core (and the extra nucleons) and the Hamiltonian expressed as an operator acting on the coordinates of the individual nucleons.
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