Comparison of variational solutions of the Thomas-Fermi model in terms of the ionization energy



Título del documento: Comparison of variational solutions of the Thomas-Fermi model in terms of the ionization energy
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000425604
ISSN: 0035-001X
Autores: 1
1
1
Instituciones: 1Universidad del Zulia, Facultad Experimental de Ciencias, Maracaibo, Zulia. Venezuela
Año:
Periodo: Nov-Dic
Volumen: 62
Número: 6
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés A modified trial solution of Wu’s function depending on three parameters and satisfying the boundary conditions, is used as a solution to the Thomas-Fermi equation using variational methods. The found solution is used to calculate the total ionization energy of atoms, taking into account a correction to this equation. Our results show that the proposed generalization is much better than Wu’s one, being in agreement with other solutions found in literature. Our solution, reproduces conveniently the corresponding numerical solution
Disciplinas: Física y astronomía
Palabras clave: Física,
Ecuación de Thomas-Fermi,
Solución aproximada,
Cálculo variacional
Keyword: Physics,
Thomas-Fermi equation,
Approximate solution,
Variational calculus
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