## Abstract The reduction of the electronic Schrodinger equation or its calculating algorithm from 4__N__‐dimensions to a (nonlinear, approximate) density functional of three spatial dimension one‐electron density for an __N__‐electron system, which is tractable in the practice, is a long desired g
Finite dimensional approximations for the electronic ground state solution of a molecular system
✍ Scribed by Aihui Zhou
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 178 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.793
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✦ Synopsis
Abstract
In this paper, finite dimensional approximations for the electronic ground state solution of a molecular system are studied in the Thomas–Fermi–von Weizsäcker type setting. The convergence of the finite dimensional approximations obtained by a Galerkin discretization of the nonlinear eigenvalue equation is proved. In particular, several upper bounds of the approximation errors are established. Copyright © 2006 John Wiley & Sons, Ltd.
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