Bose–Einstein condensation of a -deformed boson system in a harmonic potential trap

Within the framework of the theory of q -deformed bosons, we investigate Bose–Einstein condensation of a q -deformed boson system, which has finite particle number and is trapped in a harmonic potential trap, by using the approach of modified density of states. For such a trapped q -deformed boson system, we obtain the expressions of the effective critical temperature T c , the ground state population N 0 / N and the specific heat C . Further numerical calculation shows that Bose–Einstein condensation of such a system has some particular and interesting features which are different from those of a trapped standard boson system. We consider that this work may provide much insight into the theory of q -deformed bosons, and may also be useful for the further study on Bose–Einstein condensation of a concrete trapped q -deformed boson system.