Three Body Problem Applied to the Helium Atom System: The Independent Electron Approximation (IEA)

Abstract:

In this study the most simple approximation to the numerical solution for a Helium atom system is computed, dividing the problem in two independent Hydrogen systems and neglecting the inter-electronic term. The radial and spherical harmonic functions yield certain tendencies, relating the evolution of the quantum numbers and the shape of the probability density functions (PDF), that correspond to each combinations of n, l and m. The radial and angular PDF components return the already known result: there exist more probability to find the electron in its more stable level of energy, close to the nucleus. Also, it was computed the numerical/analytic solution for a Hamiltonian in which the inter-electronic term was replaced with a constant C in order to find a condition relating the energies and the inter-electronic distance.

Año de publicación:

2019

Keywords:

• Quinde I
• Super computing
• Hpc
• quantum mechanics

Fuente:

scopus