Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation

• 作者: Claude Daviau​ Jacques Bertrand Raymond Albert Ng
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Electromagnetism Clifford Algebra Dirac Equation Lagrangian Formalism Hydrogen Atom
• 年，卷（期）: 2020,（7）
• 页码范围: 1075-1090
• 页数: 16页
• 分类号: O17

摘要

The improved Dirac equation is completely solved in the case of the hydrogen atom. A method of separation of variables in spherical coordinates is used. The angular functions are the same as with the linear Dirac equation: they account for the spin 1/2 of the electron. The existence of a probability density governs the radial equations. This gives all the quantum numbers required by spectroscopy, the true number of energy levels and the true levels obtained by Sommerfeld’s formula.