Population dynamics based on ladder bosonic operators

Risultato della ricerca: Articlepeer review

Abstract

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.
Lingua originaleEnglish
pagine (da-a)39-52
Numero di pagine14
RivistaApplied Mathematical Modelling
Volume96
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2604???

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