title: Conditions for correspondence between Hartree scattering and biological growth.
abstract: The population dynamics of a weakly scattering system can often be characterized by Hartree equations, and those of a living system by Lotka-Volterra (LV) equations. In principle, can the population statistics of the quantum scattering system follow those of the living system? The answer is yes, provided the interactive potentials of the Hartree equations are made equal, on a one-to-one basis, to corresponding fitness functions of the LV equations. Of course this correspondence can be achieved only if the requirements of the Hartree approximation are satisfied, including that the scatter occurs within the coherence time of the quantum system. Examples are given of Hartree systems that obey the population dynamics of required predator-prey systems.
authors.affiliation: College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA.
authors.forename: B Roy
authors.initials: BR
authors.lastname: Frieden
authors.forename: Robert A
authors.initials: RA
authors.lastname: Gatenby
mesh_terms: D008954:Models, Biological; D011157:Population Dynamics