Comparison of variational solutions of the Thomas-Fermimodel in terms of the ionization energy

 D. Sierra Portaa,b,∗, M. Chirinosband M.J. Stocka,b

 

 Received 28 March 2016; accepted 30 June 2016

 

 A modified trial solution of Wu’s function depending on three parameters and satisfying the boundary conditions, is used as a solution to theThomas-Fermi equation using variational methods. The found solution is used to calculate the total ionization energy of atoms, taking intoaccount a correction to this equation. Our results show that the proposed generalization is much better than Wu’s one, being in agreementwith other solutions found in literature. Our solution, reproduces conveniently the corresponding numerical solution.

 

http://www.scielo.org.mx/pdf/rmf/v62n6/0035-001X-rmf-62-06-538.pdf