(H, ρ)-induced dynamics and the quantum game of life

Fabio Bagarello, Francesco Gargano, Bagarello, Di Salvo, Francesco Oliveri

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

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 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)-induced dynamics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.
Original languageEnglish
Pages (from-to)15-32
Number of pages18
JournalApplied Mathematical Modelling
Volume43
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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