  We investigate the Leggett-Garg inequalities (LGIs) for a boson system whose
observables are given by deforming the Pegg-Barnett phase operators. We
consider two observables and show that the quantum Fourier transform is useful
in the realization of the required measurements. Deriving explicit forms for
the LGIs using the coherent state $|\alpha\rangle$ as the initial state, we
explore the regimes where they are violated when the time difference between
observations of the phase operators is varied. We show that the system remains
nonclassical in the large amplitude limit without dissipation, however with
dissipation, our violation diminishes rapidly.
