第二类Pφschl-Teller势场中相对论粒子任意l波束缚态解  

The arbitrary l-wave bound state solutions of relativistic particle for the second Pφschl-Teller potential

作　　者：李龙武[1,2] 刘旭阳[1,2] 卫高峰[2,3] 

机构地区：[1]安顺学院,安顺561000 [2]贵州大学理学院物理系,贵阳550025 [3]西安文理学院物理系,西安710065

出　　处：《四川大学学报（自然科学版）》2009年第1期163-168,共6页Journal of Sichuan University(Natural Science Edition)

摘　　要：在球坐标系中研究了具有离心项的第二类Pφschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程。在标量势等于矢量势的条件下,运用合适的指数近似将具有离心项的径向Klein-Gordon方程和Dirac方程转化成超几何微分方程,从而获得了系统的任意l波Klein-Gordon方程和Dirac方程解析束缚态径向波函数。最后,我们对l=0这一特殊情况进行了简单讨论。The Klein-Gordon and Dirac equations of the equal scalar and vector PФschl-Teller potentials with the centrifugal term are investigated in the spherical coordinates. Using a properly exponential approximate approach transforms the radial Klein-Gordon and Dirac equations with the centrifugal term into the hypergeometric differential equations and the analytical bound state radial wave functions of the arbitrary l- wave Klein-Gordon and Dirac equations are obtained. Finally, the special cases for l = 0 is studied briefly.

关 键 词：第二类Pφschl-Teller势 KLEIN-GORDON方程 DIRAC方程 束缚态 近似解析解 

分 类 号：O413[理学—理论物理]