We adopt an operatorial method, based on truncated bosons, to describe the dynamics of populations in a closed region with a non trivial topology. The main operator that includes the various mechanisms and interactions between the populations is the Hamiltonian, constructed with the density and transport operators. The whole evolution is derived from the Schrödinger equation, and the densities of the populations are retrieved from the normalized expected values of the density operators. We show that this approach is suitable for applications in very large domain, solving the computational issues that typically occur when using an Hamiltonian based on fermionic ladder operators.

我们采用基于截短玻色子的算子方法，以非平凡的拓扑描述封闭区域中种群的动态。包含各种机制和种群之间相互作用的主要算子是哈密顿量，它是由密度算子和运输算子构成的。整体演化是从Schrödinger方程得出的，而总体的密度是从密度算子的归一化期望值中获取的。我们证明了这种方法适用于非常大的领域，解决了使用基于费米梯形算子的哈密顿量时通常发生的计算问题。