Premium
Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. I
Author(s) -
Arimoto Shigeru,
Fukui Kenichi,
Taylor Keith F.,
Mezey Paul G.
Publication year - 1995
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560530404
Subject(s) - uniqueness , context (archaeology) , operator (biology) , dynamical systems theory , spectral analysis , resolution (logic) , series (stratigraphy) , algebra over a field , foundation (evidence) , mathematics , pure mathematics , computer science , chemistry , physics , quantum mechanics , mathematical analysis , spectroscopy , history , paleontology , biochemistry , archaeology , repressor , artificial intelligence , gene , transcription factor , biology
The present article develops a methodology and a unifying theorem to treat, on an equal footing, mathematical phenomena that were hitherto studied separately in each of the research fields of dynamical systems and quantum chemistry involving the spectral symmetry of alternant hydrocarbons. This article also serves as a foundation of a theoretical framework for the analysis of certain dynamical systems of chemical kinetic equations, which shall be made in the context of operator algebra in Parts II and III of this series of papers. © 1995 John Wiley & Sons, Inc.