在克莱因-戈登方程中汤川势性质的研究  

Study of characteristic on Yukawa potential in the K-G equation

作　　者：张仲[1] 吴献[2] 金毅[1] 李晓[1] 董建敏 

机构地区：[1]济南大学理学院,山东济南250022 [2]营口职业技术学院,辽宁营口115000

出　　处：《大学物理》2011年第12期12-15,共4页College Physics

摘　　要：在克莱因-戈登方程中通过对径向方程进行数值计算,讨论了汤川势的束缚态存在的条件和束缚态能级的特点,给出了相应方程的径向函数图像.计算结果发现,参量V0较小时,粒子处在基态,不容易被激发;还发现V0很小时,粒子不存在束缚态,随着V0的增加,一些低角动量的能态消失,分析得出这是离心势导致的结果.The radial direction equation in the Klein-Gordon equation is calculated numerically, the condition and energy level of Yukawa potential bound states are discussed, and the function images of radial direction is given. The calculation result shows that when the parameter is small, the particles are in the ground state, not easy to be excited. It is also shown that when the parameter is very small, the particle bound state does not exist, and with the increase of the parameters V0, some energy states of low angular momentum disappear. Our analysis indicates that this is a result of centrifugal potential.

关 键 词：量子力学 汤川势 克莱因-戈登方程 束缚态 能级 

分 类 号：O413.1[理学—理论物理]