The energy correction due to a finite size nucleus of the hydrogen atom confined in a penetrable spherical cavity



Título del documento: The energy correction due to a finite size nucleus of the hydrogen atom confined in a penetrable spherical cavity
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000426487
ISSN: 0035-001X
Autors: 1
1
2
Institucions: 1Universidad Autónoma Metropolitana, Departamento de Física, Ciudad de México. México
2Centre College, Louisville, Kentucky. Estados Unidos de América
Any:
Període: Jul-Ago
Volum: 64
Número: 4
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés We have computed accurate values for the ground state energy of a hydrogen atom confined by a finite spherical barrier of height V 0 as a function of the confinement radius R c . We consider the nucleus as a sphere with a uniform charge distribution instead of as a point particle. The contribution to the ground state energy due to the finite nuclear size is computed as a function of the confinement radius, R c , and the height of the barrier, V 0 , using time-independent perturbation theory. For an impenetrable cavity with R c = 0.5 au, we found that this energy correction is fifty times higher than the corresponding value for the free hydrogen atom. For a finite value of V 0 , we found that the maximum of the energy correction is reached at a value R CMAX , which is very close to the position at which the electron density is most compact around the nucleus. This is confirmed though evaluation of the Shannon entropy in configuration space
Disciplines Física y astronomía
Paraules clau: Física,
Atomo de hidrógeno confinado,
Corrección de núcleo finito,
Entropía de Shannon
Keyword: Confined hydrogen atom,
Finite nucleus correction,
Shannon entropy
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