改进求解Woods-Saxon势和Poschl-Teller势的方法  

Method for the Woods-Saxon Potential and Poschl-Teller Potential

作　　者：郝海玲[1] 闫景富[2] 

机构地区：[1]晋中职业技术学院基础部,山西晋中030600 [2]中国石油大学(北京)信息学院,北京102249

出　　处：《实验科学与技术》2015年第4期16-18,91,共4页Experiment Science and Technology

摘　　要：用Wang的Obrechkoff数值方法来求解常见的Schrdinger方程,即两步高阶微商。该方法的特点是采用增加奇数高阶微商使得数值结果 P稳定。Schrdinger方程中,例如一维的Woods-Saxon势和Pschl-Teller势,使用该方法计算后,不仅提高了计算效率,也提高了数值结果的精度。In this paper,we focus on the new kind of P-stable two-step Obrechkoff method for the ultra-high-accurate solution of a one-dimensional Schrdinger equation. Through improving the Wang＇s method,we develop a new kind of P-stable two-step Obrechkoff method by adding the odd higher-order derivatives. This proposed method is very effective but has very high local truncation error. We apply our new method to the one-dimensional Schrdinger equation such as the well-know Woods-Saxon potential and Pschl-Teller potential. Their numerical solution testified that the new method is very reliability.

关 键 词：P稳定 Obrechkoff方法 WOODS-SAXON势 Poschl-Teller势 

分 类 号：O411[理学—理论物理]