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Revista mexicana de física

versión impresa ISSN 0035-001X


AQUINO, N.; ROJAS, R.A.  y  MONTGOMERY, H.E.. The energy correction due to a finite size nucleus of the hydrogen atom confined in a penetrable spherical cavity. Rev. mex. fis. [online]. 2018, vol.64, n.4, pp.399-406. ISSN 0035-001X.

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.

Palabras llave : Confined hydrogen atom; finite nucleus correction; Shannon entropy.; 67.63.Gh; 67.80.fh.

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