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The hydrogen atom in a semi‐infinite space limited by a hyperboloidal boundary
Author(s) -
LeyKoo E.,
MateosCortés S.
Publication year - 1993
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560460503
Subject(s) - hydrogen atom , boundary (topology) , dipole , space (punctuation) , eigenvalues and eigenvectors , degenerate energy levels , physics , atomic physics , boundary value problem , atom (system on chip) , coordinate space , nucleus , plane (geometry) , chemistry , quantum mechanics , geometry , mathematical analysis , mathematics , linguistics , philosophy , computer science , group (periodic table) , embedded system , biology , microbiology and biotechnology
The hydrogen atom in a semi‐infinite space limited by a hyperboloidal boundary, with the nucleus at a focus, is investigated as a model of an atom on the surface of a solid. The energy eigenvalues, hyperfine structure, and electric dipole moment of the system are evaluated for different focal distances and eccentricities of the boundary. It is shown that the system tends to become infinitely degenerate at the ionization threshold as the boundary closes in approaching the nucleus. This model includes as special cases the corresponding models in the literature with plane and paraboloidal boundaries. © 1993 John Wiley & Sons, Inc.
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