Bose–Einstein condensation of a two-dimensional harmonically trapped -deformed boson system

Within the framework of the theory of q -deformed bosons, Bose–Einstein condensation of a q -deformed boson system, which has a finite number of particles and is trapped in a two-dimensional harmonic potential trap, is investigated. By using the approach of modified density of states, 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, such as it is possible to well fit the experimental data concerned by adjusting the parameter q , and so perhaps we may treat the actual bosons as q -deformed bosons to some extent. 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 two-dimensional trapped q -deformed boson system.