A Method of Solving the Eigenproblem of the Atomic Ion Hamiltonians. I. Theory

• Authors: J. Owedyk
• Languages of publication: EN

Abstracts

EN

The aim of this paper is to present a procedure for determining the power series in N-1/Z for the approximate energy levels and eigenspaces of the nonrelativistic Hamiltonians H^{(N,Z)} with N-electrons and nuclear charge Z. To this effect the theory of the best multiconfigurational approximations is applied.

• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 125
• Issue: 5
• Pages: 1075-1083

Dates

published

2014-05

received

2012-09-30

(unknown)

2014-03-26

Contributors

author

J. Owedyk

• Faculty of Technology, Kujawy and Pomorze University, Bydgoszcz, Poland

References

• [1] S. Pruski, 'Generalized one-particle analysis of systems of n$ fermions', Lecture given at 5th Symp. on Mathematical Physics, Toruń, December 1973
• [2] S. Pruski, Physica 37, 246 (1967)
• [3] T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin 1966
• [4] D.R. Hartree, Proc. Camb. Philos. Soc. 24, 89 (1928)
• [5] V.A. Fock, Z. Phys. 61, 126 (1930)
• [6] A. Akhieser, I.M. Glazman, Theory of linear operators in Hilbert space, Frederick Ungar Publishing Company, New York 1961
• [7] D.J. Klein, J. Chem. Phys. 61, 786 (1974)

Identifiers

DOI

10.12693/APhysPolA.125.1075