应用黎曼才塔函数(Riemann zeta function)研究了一维情况下周期边界下的玻色爱因斯坦凝聚体杂质间的相互作用力.通过计算杂质间的相互作用力,给出了力与杂质间距离的关系.结果表明,杂质间的距离越大,力越小.研究结果有助于进一步了解玻色爱因斯坦凝聚体中杂质所带来的物理效应.
In this paper the interaction between contaminants of the Ideal Bose-Einstein condensed system for periodic boundary condition is discussed by using Riemann zeta function.The force between the contaminants are obtained,the relationship of the force with distance is also discussed.Our result shows that the larger the distance between contaminants is,the smaller the Casimir force is.