2016/10/22 by Fabio Bagarello, Bagarello, F., Rosa Di Salvo +5
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1610.07595
openalex publication_date 2016/10/22 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We propose an extended version of quantum dynamics for a certain system S, whose evolution is ruled by a Hamiltonian H, its initial conditions, and a suitable set ρ of \em rules, acting repeatedly on S. The resulting dynamics is not necessarily periodic or quasi-periodic, as one could imagine for conservative systems with a finite number of degrees of freedom. In fact, it may have quite different behaviors depending on the explicit forms of H, ρ as well as on the initial conditions. After a general discussion on this (H,ρ)-\em induced dynamics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.