Use of a local-density approximation for exchange-correlation potentials in multichannel atomic quantum-defect calculations

Armstrong, J. A. ; Jha, Sudhanshu S. ; Pandey, K. C. (1981) Use of a local-density approximation for exchange-correlation potentials in multichannel atomic quantum-defect calculations Physical Review A, 23 (6). pp. 2761-2775. ISSN 1050-2947

Full text not available from this repository.

Official URL: http://link.aps.org/doi/10.1103/PhysRevA.23.2761

Related URL: http://dx.doi.org/10.1103/PhysRevA.23.2761

Abstract

Multichannel quantum-defect theory provides an attractive framework for compact, a priori calculations of the binding energies or scattering resonances of highly excited, multielectron atoms. However, in addition to obtaining a good representation of interchannel interactions, it is difficult in practice to find a sufficiently accurate, selfconsistent, simple, one-electron potential for describing the average motion of a Rydberg electron in the multielectron core. Moreover, when there is a nonspherical core there is a significant non-Coulomb tail even at fairly large distances from the origin, and due to exchange and correlations, such a potential will be nonlocal. We describe a self-consistent, local-density approximation to calculate a single-particle potential with proper self-interaction corrections, which represents quite accurately the motion of the outer electron in the presence of a spherically averaged core. This is derived from the well-known solid-state calculational technique based on the Hedin-Lundqvist approximation. The channel interactions and nonspherical contributions to intrachannel potentials are then calculated by explicitly considering the motion of two electrons outside the outermost closed-shell configuration of the atom. This procedure permits greatly increased accuracy in the prediction of excited-state energies of the entire spectral series. Explicit numerical results for quantum-defect parameters are presented for many Rydberg series in several alkali-metal and alkaline-earth atoms.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:14003
Deposited On:12 Nov 2010 14:19
Last Modified:03 Jun 2011 03:53

Repository Staff Only: item control page