A microscopic description of nuclear rotational motion in terms of solid harmonics expansion of the pair operator, 1

A microscopic theory of nuclear rotational motion in the framework of the classical theory is proposed with the aim of achieving a full quantum theory. The basic idea is the c-number replacement of the pair operator together with the use of certain dynamical and kinematical constraints of the pair operator. In contrast to the Hartree-Bogoliubov theory applied to the cranking Hamiltonian, the spherical symmetry is not violated at any stage. (auth.)