Revised Iterative Solution for Groundstate of Schrodinger Equation
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 Schrodinger 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.
作 者： ZHAO Wei-Qin 作者单位： China Center of Advanced Science and Technology CCAST, World Lab., P.O. Box 8730, Beijing 100080, China;Institute of High Energy Physics, the Chinese Academy of Sciences, P.O. Box 9184-1, Beijing 100039, China 刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(7) 分类号： 关键词： single trajectory quadrature Green function revised iterative solution