Hydrogen Atom and Equivalent Form of the Lévy-Leblond Equation

doi:10.1088/0256-307X/34/5/050301

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Abstract：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.

收稿日期: 2017-01-25 出版日期: 2017-04-29

:	03.65.-w	(Quantum mechanics)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.65.Ge	(Solutions of wave equations: bound states)

引用本文:

. [J]. 中国物理快报, 2017, 34(5): 50301-.
Muhammad Adeel Ajaib. Hydrogen Atom and Equivalent Form of the Lévy-Leblond Equation. Chin. Phys. Lett., 2017, 34(5): 50301-.

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https://cpl.iphy.ac.cn/CN/10.1088/0256-307X/34/5/050301 或 https://cpl.iphy.ac.cn/CN/Y2017/V34/I5/50301

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