A triaxial rotor Hamiltonian with rigidly aligned high-j quasiparticles is treated within a time-dependent variational principle, using angular momentum coherent states [1]. A stereographic parametrization of the coherent state gives the dependence of the associated classical energy function on azimuth angle and a canonical conjugate coordinate related to the polar angle. The rotational dynamics of the considered systems is then investigated by extracting the evolution on total angular momentum of the canonical variables as well as spherical angles corresponding to distinct minima in the constant energy surface. The unique minimum energy conditions define phases with specific dynamical behaviour. Double minima classical energy is shown to simulate the breaking of the chiral symmetry. The discrete energy levels are obtained through a quantization procedure applied to the classical energy function. The method is employed for the description of wobbling excitations in odd mass nuclei [2] and chiral doublet bands in odd-odd nuclei [3] and is suitable for treating transitions from different dynamical phases.

[1] A. A. Raduta, R. Budaca, and C. M. Raduta, Phys. Rev. C 76, 064309 (2007).
[2] R. Budaca, Phys. Rev. C 97, 024302 (2018).
[3] R. Budaca, Phys. Rev. C 98, 014303 (2018).