Hydrogen Atom and Equivalent Form of the Lévy-Leblond Equation

• 来源期刊: 中国物理快报（英文版）
• 关键词: @@
• 年，卷（期）: 2017,（5）
• 页码范围: 5-8
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/34/5/050301

摘要

We discuss the equivalent form of the Lévy-Leblond equation such that the nilpotent matrices are two-dimensional.We show that this equation can be obtained in the non-relativistic limit of the (2+1)-dimensional Dirac equation.Furthermore,we analyze the case with four-dimensional matrices,propose a Hamiltonian for the equation in (3+1) dimensions,and solve it for a Coulomb potential.The quantized energy levels for the hydrogen atom are obtained,and the result is consistent with the non-relativistic quantum mechanics.