Derivation of a four-spinor Dirac-like equation for the helium atom and an approximate ground state solution
Quantum Physics
2013-10-30 v1
Abstract
We present a new analysis of the connection between the classical conservation theorems and the role played by the Dirac matrices in order to obtain a four spinor version of the Dirac equation for the two electrons bound problem. The separation of the set of equations in its angular and radial parts is done and an asymptotic solution for the radial system of equations is discussed for the ground state of the atom.
Keywords
Cite
@article{arxiv.1310.7567,
title = {Derivation of a four-spinor Dirac-like equation for the helium atom and an approximate ground state solution},
author = {Daniel L. Nascimento and Antonio L. A. Fonseca},
journal= {arXiv preprint arXiv:1310.7567},
year = {2013}
}