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



Document title: The energy correction due to a finite size nucleus of the hydrogen atom confined in a penetrable spherical cavity
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000426487
ISSN: 0035-001X
Authors: 1
1
2
Institutions: 1Universidad Autónoma Metropolitana, Departamento de Física, Ciudad de México. México
2Centre College, Louisville, Kentucky. Estados Unidos de América
Year:
Season: Jul-Ago
Volumen: 64
Number: 4
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Keyword: 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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