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RESEARCH PRODUCT
Population dynamics based on ladder bosonic operators
Francesco Garganosubject
Physicseducation.field_of_studyPopulation dynamicsApplied MathematicsPopulation02 engineering and technologyExpected value01 natural sciencesSchrödinger equationsymbols.namesake020303 mechanical engineering & transportsOperator (computer programming)Ladder operator0203 mechanical engineeringTrivial topologySchrödinger dynamicsModeling and Simulation0103 physical sciencessymbolsStatistical physicsOperatorial modelseducationHamiltonian (quantum mechanics)010301 acousticsBosondescription
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 Schrodinger 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-01 | Applied Mathematical Modelling |