TITLE:
A Variational Approach for Numerically Solving the Two-Component Radial Dirac Equation for One-Particle Systems
AUTHORS:
Antonio L. A. Fonseca, Daniel L. Nascimento, Fabio F. Monteiro, Marco A. Amato
KEYWORDS:
One-Electron Systems; 2D Dirac Equation; No-Inertial Frames; Variational Approach
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.4,
April
27,
2012
ABSTRACT: 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.