| Popis: |
In the configuration-interaction method for atoms, the Schrodinger equation is reduced to an infinite system of linear homogeneous equations. One then argues that the energy eigenvalues and eigenfunctions obtained by truncation from this infinite set of linear equations will converge, in the limit, to those of the original system. A proof is given which shows that this is essentially true for two-electron atoms and the configuration-interaction method does in fact lead to a convergent procedure. In the three- or more-electron case, it is shown that the linear operator which the infinite system of equations defines is not of the Hilbert-Schmidt type. |
