Journal: | Revista mexicana de física |
Database: | PERIÓDICA |
System number: | 000426487 |
ISSN: | 0035-001X |
Authors: | Aquino, N1 Rojas, R.A1 Montgomery, H.E2 |
Institutions: | 1Universidad Autónoma Metropolitana, Departamento de Física, Ciudad de México. México 2Centre College, Louisville, Kentucky. Estados Unidos de América |
Year: | 2018 |
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 |
Full text: | Texto completo (Ver HTML) Texto completo (Ver PDF) |