Population Dynamics in Large Domains

Abstract

This chapter uses our operator-based approach adopting truncated bosonic operators to analyze the population dynamics in a confined 2D region with a complex topology. The Hamiltonian operator that encompasses the interactions and mechanisms among the populations, is built (also) in terms of the density and of the transport operators. The time evolution is determined by the Schrödinger equation, and the population densities are computed from the normalized expected values of the density operators. Our approach proves to be efficient for large domains, addressing the computational challenges often encountered in Hamiltonian approaches using fermionic ladder operators.