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
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.