Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus


IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

Online
ISSN
1865-7109
See all formats and pricing
More options …
Volume 15, Issue 5-6

Issues

Zum Polarisationspotential für Elektronen im Feld eines Atoms oder Atomrumpfes

Helmut Reeh
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1960-5-602

The polarisation potential acting on an electron (or positron) in the field of an atom or ion is calculated. Neglecting the exchange between the core and valence electrons, the wave function Φ of the core is written as Φ = Φ0+χ, where Φ0 is the unperturbed core wave function, and χ corresponds to the perturbation of the core by the valence electron, and is required to be orthogonal to Φ0. Then eq. (7) gives the expression for the polarisation potential. The perturbation χ of the core is calculated from a stationary perturbation theory of first order [eq. (11)] for hydrogen-like core orbits of principle quantum number 1 and 2; the corresponding polarisation potentials are calculated and are shown in Fig. 1, 2 and 3 (sec. 5). An approximation for many electron cores is given in sec. 6 and applied to helium- and neon-like core configurations (Fig. 4); simple analytical approximations of the polarisation potential are given for these cases. The results for Si4+ are discussed and compared with the results of other authors (sec. 7). The last section of the paper contains some critical remarks on the stationary approximation. It is shown that the influence of the “kinetic terms” enlarges the polarisation effects, contrary to the usual supposition. — An appendix contains a derivation of an expression for the polarisation potential acting on two valence electrons for large distances from the core.

About the article

Received: 1960-02-11

Published Online: 2014-06-02

Published in Print: 1960-06-01


Citation Information: Zeitschrift für Naturforschung A, Volume 15, Issue 5-6, Pages 377–397, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1960-5-602.

Export Citation

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Ralph H. Young and Walter J. Deal
International Journal of Quantum Chemistry, 1975, Volume 9, Number 5, Page 835
[2]
A. K. Bhatia, A. Temkin, and A. Silver
Physical Review A, 1975, Volume 12, Number 5, Page 2044
[3]
Edward S. Chang
Physical Review A, 1987, Volume 35, Number 7, Page 2777
[4]
C. Froese Fischer, J. E. Hansen, and H. W. van der Hart
Physical Review A, 1995, Volume 51, Number 3, Page 1999

Comments (0)

Please log in or register to comment.
Log in