ASPECTS OF FORM AND GENERAL TOPOLOGY - ALPHA-SPACE ASYMPTOTIC LINEARITY THEOREM AND THE SPECTRAL SYMMETRY OF ALTERNATES

Citation
S. Arimoto et K. Taylor, ASPECTS OF FORM AND GENERAL TOPOLOGY - ALPHA-SPACE ASYMPTOTIC LINEARITY THEOREM AND THE SPECTRAL SYMMETRY OF ALTERNATES, Journal of mathematical chemistry, 13(3-4), 1993, pp. 249-264
Citations number
31
Categorie Soggetti
Chemistry,Mathematics
ISSN journal
02599791
Volume
13
Issue
3-4
Year of publication
1993
Pages
249 - 264
Database
ISI
SICI code
0259-9791(1993)13:3-4<249:AOFAGT>2.0.ZU;2-Q
Abstract
A theoretical device and a technique have been developed by which one can study, in a unifying manner, additive properties of hydrocarbons a nd the symmetric property of the spectrum of alternants. By using func tionals introduced in the approach via the aspects of form and general topology, a special version of the Asymptotic Linearity Theorem (for the study of additivity problems of the zero-point vibrational energy of hydrocarbons and the total pi-electron energy of alternants) has be en obtained in parallel with a derivation of the spectral symmetry of alternants.