Schrödinger equation for the chiral geometry in atomic nuclei

The dynamical and spectral features of the chiral geometry in atomic nu clei are described by means of a triaxial rigid rotor Hamiltonian cranked by quasiparticle alignments. The problem is treated alternatively in the space of angular momentum states and using a Schr¨odinger equation for a continuous variable associated with an angular momentum projection. The later is con structed using a semiclassical approach. Numerical applications performed for various deformation and alignment conditions with both methods are compared in terms of energy levels and wave functions.