A Variational Approach for Numerically Solving the Two-Component Radial Dirac Equation for One-Particle Systems

• 作者: Antonio L. A. Fonseca Daniel L. Nascimento Fabio F. Monteiro Marco A. Amato
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: ONE-ELECTRON SYSTEMS 2D DIRAC Equation No-Inertial Frames Variational Approach
• 年，卷（期）: 2012,（4）
• 页码范围: 350-354
• 页数: 5页
• 分类号: O1

摘要

In this paper we propose a numerical approach to solve the relativistic Dirac equation suitable for computational calculations of one-electron systems. A variational procedure is carried out similar to the well-known Hylleraas computational method. An application of the method to hydrogen isoelectronic atoms is presented, showing its consistency and high accuracy, relative to the exact analytical eigenvalues.