【摘要】 一维氢原子的定态解是二度简并的．由简并解可组合出三种典型解，它们对应三种不同的系综．双波理论描述单个氢原子．对双波理论进行三种不同的系综平均就得出普通量子力学中的三种典型解．各种解都与经典力学结果进行了详细的比较．更多还原

【Abstract】 Abstract Stationary solutions of one dimensional hydrogen atom are two degree degenerate. Three kinds of typical solutions can be constructed from those degenerated solutions. They correspond to three kinds of ensembles. Double wave theory describes a single hydrogen atom. When three different averages over ensembles are made for double wave theory, three kinds of typical solutions in the usual quantum mechanics are obtained. A comparison between these solutions and those of classical mechanics is made.更多还原