  We consider excitons in a quantum dot as q-deformed systems. Interaction of
some excitonic systems with one cavity mode is considered. Dynamics of the
system is obtained by diagonalizing total Hamiltonian and emission spectrum of
quantum dot is derived. Physical consequences of q-deformed exciton on emission
spectrum of quantum dot is given. It is shown that when the exciton system
deviates from Bose statistics, emission spectra will become multi peak. With
our investigation we try to find the origin of the q-deformation of exciton.
The optical response of excitons, which affected by the nonlinear nature of
q-deformed systems, up to the second order of approximation is calculated and
absorption spectra of the system is given.
