The hydrogen atom within spherical boxes with penetrable walls

We study a model for the hydrogen atom confined within spherical boxes with penetrable walls. The potential consists of the Coulomb potential inside the box and a constant potential outside the box; the Schrödinger equation admits analytical solutions in both regions. The energy eigenvalues and eige...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of chemical physics 1979-07, Vol.71 (1), p.351-357
Main Authors: Ley-Koo, E., Rubinstein, Sergio
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study a model for the hydrogen atom confined within spherical boxes with penetrable walls. The potential consists of the Coulomb potential inside the box and a constant potential outside the box; the Schrödinger equation admits analytical solutions in both regions. The energy eigenvalues and eigenfunctions for the lowest states of the system are determined numerically for boxes of different sizes and penetrabilities. In addition, we also evaluate the hyperfine splitting, nuclear magnetic shielding, polarizability and pressure of the system and investigate the effect of the confinement on these atomic properties.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.438077