2012/07/12 by Fabio Bagarello, Bagarello, Fabio, Francesco Oliveri +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Annihilation #Chemistry #Computer science #Creation and annihilation operators #Diffusion and Search Dynamics #Geometry #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Operator (biology) #Opinion Dynamics and Social Influence #Physics #Population #Quadratic equation #Quantum mechanics #Sociology #Statistical physics #Stochastic processes and statistical mechanics #Theoretical computer science #Theoretical physics #physics.bio-ph #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1207.2873
published in arXiv (Cornell University) (Cornell University) · M3AS, in press
arxiv created 2012/07/12 · openalex publication_date 2012/07/12 · arxiv updated 2012/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We adopt an operatorial method based on the so-called creation, annihilation\nand number operators in the description of different systems in which two\npopulations interact and move in a two-dimensional region. In particular, we\ndiscuss diffusion processes modeled by a quadratic hamiltonian. This general\nprocedure will be adopted, in particular, in the description of migration\nphenomena. With respect to our previous analogous results, we use here\nfermionic operators since they automatically implement an upper bound for the\npopulation densities.\n