A Variational Approach for Numerically Solving the Two-Component Radial Dirac Equation for One-Particle Systems
A Variational Approach for Numerically Solving the Two-Component Radial Dirac Equation for One-Particle Systems作者机构：Faculdade UnB Planaltina University of Brasília Brasília Brazil Institute of Physics and International Center for Condensed Matter University of Brasília Brasília Brazil
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2012年第3卷第4期
页 面：350-354页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：One-Electron Systems 2D Dirac Equation No-Inertial Frames Variational Approach
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.
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