  A microscopic quantum ideal rotor-model intrinsic Hamiltonian for triaxial
rotation is derived from the nuclear Schrodinger equation by applying a
rotation operator to a deformed nuclear ground state. This Hamiltonian is
obtained only when a rigid-flow prescription is used for the three rotation
angles in the rotation operator. Using Hartree-Fock variational and second
quantization methods, the rotor Hamiltonian is transformed into that of a
self-consistent triaxial cranking model (MSCRM-3) with a self-consistent
angular-velocity vector, plus residual terms associated with the square of the
angular momentum operator and with a two-body interaction. The approximations
underlying the conventional cranking model are revealed. For a self-consistent
deformed harmonic oscillator potential, the MSCRM-3 Schrodinger equation is
transformed into that of a uniaxial cranking model plus local potential-energy
cross terms using a rotation of the co-ordinate system. It is shown that
uniform rotation is not generally possible. However, for a slow-wobbling
rotation, an approximate uniform rotation becomes possible. In this limiting
wobbly motion, the potential-energy cross terms are negligibly small, and the
uni-axial cranking-model equation is solved analytically using a generalization
of the isotropic-velocity-distribution condition of Bohr-Mottelson and
Ripka-Blaizot-Kassis. The ground-state rotational-band excitation energy and
quadrupole moment are calculated and compared with the measured data in Ne-20 .
The results explain the mysterious decrease in the excitation-energy level
spacing with increasing angular momentum. The impact of the residual of the
square of the angular momentum and a separable quadrupole-quadrupole two-body
interaction is studied in the Tamm-Dancoff approximation.
