利用局域密度近似的方法研究了重力场中相对论玻色气体的玻色—爱因斯坦凝聚(BEC)和热力学性质.计算了非相对论极限和极端相对论极限下系统的转变温度、基态占有数、能量和比热等热力学量.探讨了比热在临界温度处的连续性,发现极端相对论极限系统比热的跃变大于非相对论极限比热的跃变.这说明,相对论效应使比热的跃变增大.
For the relativistic Bose gas in the gravitational field,the Bose-Einstein condensation(BEC) and the thermodynamic properties are investigated using the local density approximation(LDA).The thermodynamic quantities are calculated in the non-relativistic(NR) and ultra-relativistic(UR) limits,including the transition temperature,the ground state fraction,the energy and the heat capacity of the system.We also discussed the continuity of the heat capacity at the critical temperature.It is found that the effect of the relativistic results in the increase of the gap of the heat capacity.