具有一维Coulomb型对称势Dirac方程的精确解  

Exact solutions for Dirac equation with one dimensional symmetric Coulomb type potentials

作　　者：冉扬强[1] 薛立徽[2] 胡嗣柱[2] 

机构地区：[1]西南师范大学物理系,重庆400715 [2]复旦大学物理系,上海200433

出　　处：《物理学报》2002年第11期2435-2439,共5页Acta Physica Sinica

摘　　要：在标量势大于矢量势的情况下 ,一维Dirac方程的束缚态能级是二重简并的 .任意两个不同能量本征值的波函数和同一能量本征值的两个波函数都是相互正交的 .对于纯标量场 ,存在零能量束缚态 。The energy levels of bound states for one dimensional Dirac equation are doubly degenerate provided that the scalar like potential is greater than the vector like potential. Arbitrary two wave functions with different eigenenergies and two wave functions with the same eigenenergy are orthogonal to each other. For a pure scalar potential the zero energy bound state does exist, and the fractional charge does exist.

关 键 词：精确解 Coulomb型对称势 DIRAC方程 束缚态 分数电荷 波函数 能量本征值 

分 类 号：O411.1[理学—理论物理]