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On the convergence of the hartree-fock selfconsistency procedure

 

作者: E.B. Starikov,  

 

期刊: Molecular Physics  (Taylor Available online 1993)
卷期: Volume 78, issue 2  

页码: 285-305

 

ISSN:0026-8976

 

年代: 1993

 

DOI:10.1080/00268979300100241

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

A dynamical viewpoint on the electronic system of a molecule is systematically introduced. It is shown that the conventional quantum-chemical consideration can be treated as a particular case of a more general approach connected with taking into account the time-dependence of molecular-orbital coefficients. Possible physical reasons for such a time-dependence are analysed. The Poincaré mapping for the collective electron dynamics in a molecule has been derived as a mapping of the idempotent matrix set into itself. Convergence conditions for this mapping as well as for the conventional Hartree-Fock selfconsistency procedure have been studied using the well-known fixed-point theorems. A possible physical significance of the divergence of Hartree-Fock selfconsistency procedure is discussed and some ways of extending the scope of the conventional quantum-chemical approaches are proposed.

 

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