PLANCK DISTRIBUTION FOR A COMPLEX Q-BOSON GAS

The q-deformed boson gas at finite temperature is investigated for the quantum deformation parameter q to be complex (s = ln q = a + ib). It is shown that the real part of the energy density distribution corresponds to the Planck energy density distribution for a suitable range of the parameter b, which restricts the maximum number of quantum states in the model of the system. The spectra of q-oscillator are different for different (a, b)-values. The classical dimensionless constant, characterizing the Wien shift law, is presented as a function of (a, b) and, in the spirit of the theory of q-deformed boson gas, it is possible to interpret it as the radiation of a non-ideal black-body or a real body. The role of the imaginary part of oscillator energy is also studied.