  We have recently developed an efficient method of performing the full quantum
number projection from the most general mean-field (HFB type) wave functions
including the angular momentum, parity as well as the proton and neutron
particle numbers. With this method, we have been investigating several nuclear
structure mechanisms. In this report, we discuss the obtained quantum
rotational spectra of the tetrahedral nuclear states formulating certain
experimentally verifiable criteria, of the high-spin states, focussing on the
wobbling- and chiral-bands, and of the drip-line nuclei as illustrative
examples.
