| 具有一维Coulomb型对称势Dirac方程的精确解 |
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| 引用本文： | 冉扬强,薛立徽,胡嗣柱. 具有一维Coulomb型对称势Dirac方程的精确解[J]. 物理学报, 2002, 51(11): 2435-2439 |
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| 作者姓名： | 冉扬强 薛立徽 胡嗣柱 |
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| 作者单位： | (1)复旦大学物理系,上海200433; (2)西南师范大学物理系,重庆400715 |
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| 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,存在分数电荷关键词：Coulomb型对称势Dirac方程束缚态分数电荷
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| 关 键 词： | Coulomb型对称势 Dirac方程 束缚态 分数电荷 |
| 文章编号： | 1000-3290/2000/51(11)/2435-05 |
| 收稿时间： | 2001-12-18 |
| 修稿时间： | 2001-12-28 |
Exact solutions for Dirac equation with one-dimensional symmetric Coulomb-type potentials |
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| Ran Yang-Qiang,Xue Li-Hui and Hu Si-Zhu. Exact solutions for Dirac equation with one-dimensional symmetric Coulomb-type potentials[J]. Acta Physica Sinica, 2002, 51(11): 2435-2439 |
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| Authors: | Ran Yang-Qiang Xue Li-Hui Hu Si-Zhu |
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| Abstract: | 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. |
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| Keywords: | symmetric Coulomb type potential Dirac equation bound state fractional charge |
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