王怀玉

• 1:清华大学物理系

摘要(Abstract)：

本文求解了狄拉克方程在哈密顿量中的势能是库仑势时束缚态的本征值。文献上求出的这个哈密顿量时，一个粒子的束缚态的能量是正的但小于这个粒子静止质量并将这样的本征值称为正能量解。本文的推导结果表明，实际上还有一个束缚态的负能量解，其能量本征值与正能量一一对应且互为相反数。我们称之为关于正负能解的对称性。本文的结果显示，狄拉克方程在哈密顿量中的势能是库仑势时，无论是束缚态还是非束缚态，都有关于正负能量解的对称性。

关键词(KeyWords)： 狄拉克方程;正能量解;负能量解;正负能量的对称性

Abstract:

Keywords:

基金项目(Foundation): 国家重点研发计划资助项目(2018YFB0704304-3)

作者(Author): 王怀玉

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