Journal of Molecular Structure. Theochem vol:336 issue:2-3 pages:269-278
The transfer of energy from one mode to another whether within a molecule or between molecules is a fundamental process in nature. The delocalization of energy which encompasses energy transfer is closely related to time evolution in a system. The recently developed method of recurrence relations shows that the time evolution and the topology of a particular Hilbert space structure are equivalent. In this work a number of different topological shapes of infinite-dimensional Hilbert spaces obtained from microscopic models are summarized to illustrate a variety of admissible time-evolution functions.