Hydrogen Atom and Equivalent Form of the Lévy-Leblond Equation

作     者：Muhammad Adeel Ajaib 

作者机构：Department of Physics California Polytechnic State University San Luis Obispo 93401 USA Department of Mathematics Statistics and Physics Qatar University Doha Qatar 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2017年第34卷第5期

页      面：5-8页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Hydrogen Atom and Equivalent Form of the L 

摘      要：We discuss the equivalent form of the Ldvy-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. Phrthermore, 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.