一类相对论性非球谐振子系统的束缚态  

Bound states for a kind of relativistic non_harmonic oscillator systems

作　　者：李宁[1] 鞠国兴[1] 任中洲[1] 

机构地区：[1]南京大学物理系,南京210008

出　　处：《物理学报》2005年第6期2520-2523,共4页Acta Physica Sinica

基　　金：国家杰出青年基金项目(批准号:10125521);教育部博士点基金项目(批准号:20010284036);国家重点基础研究发展规划项目(批准号:G2000077400);中国科学院创新工程重点项目(批准号:KJCX2SWN02);国家自然科学基金(批准号:60371013)资助的课题.~~

摘　　要：给出了具有形式为12r2+A2r2的非球谐振子型标量势和矢量势的相对论系统在两种势相等的条件下三维Klein Gordon方程,二维和三维Dirac方程的s波束缚态解.For a three-dimensional non-harmonic oscillator potential ((1)/(2)r(2) + (A)/(2)r(2)) the s-wave bound solutions of both Dirac equation and Klein-Gordon equation are given when the scalar potential is equal to the vector potential. We find that the radial component equations for both two-dimensional Dirac equation and three-dimensional one are the same when the scalar potential equals to the vector potential, and the corresponding s-wave bound solutions for the two-dimensional system are also obtained.

关 键 词：相对论 三维非球谐振子势 KLEIN-GORDON方程 DIRAC方程 束缚态 

分 类 号：O412.1[理学—理论物理]