Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI

Citation
S. Arimoto et al., Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI, INT J QUANT, 84(4), 2001, pp. 389-400
Citations number
23
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
ISSN journal
00207608 → ACNP
Volume
84
Issue
4
Year of publication
2001
Pages
389 - 400
Database
ISI
SICI code
0020-7608(20010905)84:4<389:SAOCLO>2.0.ZU;2-Z
Abstract
The present Part VI of this series of articles provides a mathematical and methodical link between (i) fundamental methodology in the repeat space the ory (RST), which is referred to as the approach via the aspect of form and general topology and which has universal unifying power to handle additivit y problems of molecules that have many identical moieties, and (ii) frontie r electron theory of reactivity indices. Using theoretical tools required t o link (i) and (ii), we establish a theorem from which the Generalized Alph a Existence Theorem (a theorem essential in the RST and proved in the previ ous Part V) directly follows. (C) 2001 John Wiley & Sons, Inc.