By making use of the invariant theory, the exact solution for a time-dependent system of double-well Bose-Einstein Condensate and corresponding geometric phase are obtained.
利用构造不变量理论，研究了一种含时双阱玻色-爱因斯坦凝聚系统的精确解，得到了相应的几何相因子。
By use of Lie algebraic method, the exact solution of a quantum system with time-dependent Coulmb potential was obtained, and the suitable condition of the method was pointed out.
利用李代数方法给出了含时库仑势量子体系的严格解，并指出了该方法的适用条件。
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