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Dynamics of Confined Crowd Modelled Using Fermionic Operators

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Abstract

An operatorial method based on fermionic operators is used to describe the dynamics of a crowd made of different kind of populations mutually interacting and moving in a two–dimensional bounded closed region. The densities of the populations are recovered through the Heisenberg equation and the diffusion process is driven by the Hamiltonian operator defined by requiring that the populations move along optimal paths. We apply the model obtained in a concrete situation and we discuss the effect of the interaction between the populations during their motion.

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Authors and Affiliations

  1. National Research Council (CNR) - Institute for Coastal Marine Environment (IAMC), Via L. Vaccara 61, 91026, Mazara del Vallo, (TP), Italy

    Francesco Gargano

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  1. Francesco Gargano
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Correspondence to Francesco Gargano.

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Gargano, F. Dynamics of Confined Crowd Modelled Using Fermionic Operators. Int J Theor Phys 53, 2727–2738 (2014). https://doi.org/10.1007/s10773-014-2068-y

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  • DOI: https://doi.org/10.1007/s10773-014-2068-y

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