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RESEARCH PRODUCT
Dynamics of Confined Crowd Modelled Using Fermionic Operators
Francesco Garganosubject
PhysicsClassical mechanicsPhysics and Astronomy (miscellaneous)Diffusion processGeneral MathematicsQuantum dynamicsBounded functionQuantum mechanicsDynamics (mechanics)Motion (geometry)Settore MAT/07 - Fisica MatematicaHeisenberg pictureFermionic operatorsQuantum dynamics Heisenberg-like dynamics Dynamics of competing populationsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-03-26 |