On a 2D Version of Dirac’s Equation for One- and Two- electron Atoms and Their Analytical and Numerical Solutions

Authors

  • D. L. Nascimento Institute of Physics, University of Brasília, Brazil.
  • A. L. A. Fonseca Institute of Physics, University of Brasília, Brazil and International Center for Condensed Matter, University of Brasília, 70919-970 Brasília – DF, Brazil.

DOI:

https://doi.org/10.9734/bpi/cppsr/v2/7425A

Keywords:

One and two-electron atoms, 2D dirac equation, two and four spinors, variational formulations, methods for numerical approximations, hylleraas numerical method

Abstract

In this book chapter, we review three of our previous papers in which we used a 2D version of the Dirac equation to calculate some properties of one- and two-electron atoms [1-3]. From this approach, we obtained for hydrogen-like atoms the same eigenvalues as obtained from the standard 3D Dirac solutions, and for the helium atom a relatively accurate approximation for the ground state energy.

Published

2023-09-29

How to Cite

D. L. Nascimento, & A. L. A. Fonseca. (2023). On a 2D Version of Dirac’s Equation for One- and Two- electron Atoms and Their Analytical and Numerical Solutions. Current Perspective to Physical Science Research Vol. 2, 24–44. https://doi.org/10.9734/bpi/cppsr/v2/7425A

Issue

Current Perspective to Physical Science Research Vol. 2

Section

Chapters