  A semiclassical approach is proposed to calculate the collective potential
and mass parameters to formulate a collective Hamiltonian capable of describing
the wobbling motion in both even-even and odd-mass systems. By diagonalizing
the resulting collective Hamiltonian (CH), one can obtain the energies and wave
functions associated with the wobbling states. Furthermore, a novel technique
called spin squeezed state (SSS) maps is introduced based on the derived wave
functions. To validate the results obtained from the collective Hamiltonian, a
comparative analysis is conducted against predictions from the triaxial rotor
model (TRM) and particle triaxial rotor (PTR) model. Notably, the SSS plots
determined using the TRM and PTR models exhibit a strong correlation with the
probability density distributions of the wave functions obtained from the CH.
This correlation highlights the consistency and coherence between the different
theoretical approaches when describing the wobbling phenomenon and associated
rotational dynamics.
