Premium
Accurate energy eigenvalues and eigenfunctions for the two‐dimensional confined hydrogen atom
Author(s) -
Aquino N.,
Campoy G.,
FloresRiveros A.
Publication year - 2005
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.20508
Subject(s) - eigenfunction , hydrogen atom , eigenvalues and eigenvectors , wave function , polarizability , electron , physics , coulomb , quantum mechanics , radius , atomic physics , atomic orbital , atom (system on chip) , computer security , molecule , computer science , group (periodic table) , embedded system
A study of the two‐dimensional hydrogen atom confined within a circle of impenetrable walls is presented. The potential inside the box is Coulomb type, whereas outside it is infinite. The energy eigenvalues and some radial wave function properties are computed with high accuracy for different box sizes. We derive the polarizability in the Kirkwood approximation, calculate the Fermi contact term as a function of the confinement radius, and investigate the filling order of the one‐electron states. When the electronic configuration of many electrons is constructed by means of the Aufbau principle, the model predicts the inversion 2 s –3 d levels in the N atom. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005