Showing posts with label variational methods. Show all posts
Showing posts with label variational methods. Show all posts

Wednesday, 9 November 2022

Finding the Ground State Energy for the Helium Atom in a 2D Configuration by Using the Solutions of a Four-spinor Dirac-like Equation | Chapter 4 | New Frontiers in Physical Science Research Vol. 3

 We present a two-dimensional study of the classical preservation theorem-derived two-energized matter problem, from what or which place we derive the form of the Dirac equation for the helium grain. Although in theory this problem maybe solved tentatively, approximate solutions for it are likely using two various approaches. One approach is a Hylleraas-type variational approach, the execution of which is deferred until a after communication. The set of equatings in the alternative method will be detached into its bent and radial components for a more exhaustive study. Additionally, just for the fundamental state of the crumb, an accurate resolution for the angular component and an similar solution for the radial component will reveal.

Author(s) Details:

D. L. Nascimento,
Institute of Physics, University of Brasília, 70919-970, Brasília – DF, Brazil.

A. L. A. Fonseca,
Institute of Physics, University of Brasília, 70919-970, Brasília – DF, Brazil.

Please see the link here: https://stm.bookpi.org/NFPSR-V3/article/view/8589