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J. Dolbeault, M. J. Esteban, E. Séré, and M. Van Breugel, “Minimization Methods for the One-Particle Dirac Equation,” Physical Review Letters, Vol. 85, No. 19, 2000, pp. 4020-4023. doi:10.1103/PhysRevLett.85.4020

has been cited by the following article:

• 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.