Paul阱中共面两离子系统的能量本征态

Energy eigenstates of two ions in a two-dimensional paul trap

通过对Paul阱中共面两离子体系的研究,考虑共面两离子在Paul阱中库仑关联,得到了两离子系统Schrdinger方程的精确解;椐方程的精确解,分析了质心能级简并情况,计算了两离子的平衡距离和低能级的几个态函数,设计程序作出了质心径向概率分布图.

Taking into consideration the Coulomb interaction between two ions trapped in the eoplanar Paul trap, the exact solutions of the Schrisdinger equations of the two-ions system are obtained. The energy level degeneracy for center-of mass is obtained using the exact solutions. We also calculate the equilibrium distance of the ions and several state functions of the low energy levels. The radial probability distribution graph for the center of mass is plotted using a computer program.