2024/11/05 by Fabio Bagarello, Bagarello, Fabio
Computer Science · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Physics and Society (physics.soc-ph) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2411.02879
openalex publication_date 2024/11/05 · openalex created_date 2024/11/16 · openalex updated_date 2026/07/28
In a series of recent scientific contributions the role of bosonic and fermionic ladder operators in a macroscopic realm has been investigated. Creation, annihilation and number operators have been used in very different contexts, all sharing the same common main feature, i.e. the relevance of \em discrete changes in the description of the system. The main problem when using this approach is that computations are easy for Hamiltonians which are quadratic in the ladder operators, but become very complicated, both at the analytical and at the numerical level, when the Hamiltonian is not quadratic. In this paper we propose a possible alternative approach, again based on some sort of ladder operators, but for which an analytic solution can often be deduced without particular difficulties. We describe our proposal with few applications, mostly related to different versions of a predator-prey model, and to love affairs (from a decision-making point of view).