Revised Iterative Solution for Groundstate of Schro^edinger Equation  

作　　者：ZHAOWei-Qin 

机构地区：ChinaCenterofAdvancedScienceandTechnology(CCAST),(WorldLab.),P.O.Box8730,Beijing100080,China

出　　处：《Communications in Theoretical Physics》2004年第1X期37-42,共6页理论物理通讯（英文版）

摘　　要：A revised iterative method based on Green function defined by quadratures along a single trajectory is proposed to solve the low-lying quantum wave function for Schro^edinger equation. Specially a new expression of the perturbed energy is obtained, which is much simpler than the traditional one. The method is applied to solve the unharmonic oscillator potential. The revised iteration procedure gives exactly the same result as those based on the single trajectory quadrature method. A comparison of the revised iteration method to the old one is made using the example of Stark effect. The obtained results are consistent to each other after making power expansion.

关 键 词：量子力学 格林函数 修订迭代解 薛定谔方程 单轨道求积法 

分 类 号：O413.1[理学—理论物理]