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

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

Research output: Contribution to journalArticle

13 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

Fingerprint

Quantum Games
Game of Life
Initial conditions
S-system
Conservative System
Quantum Dynamics
Hamiltonians
Degree of freedom

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

(H, ρ)-induced dynamics and the quantum game of life. / Gargano, Francesco; Bagarello, Fabio; Bagarello; Di Salvo; Oliveri, Francesco.

In: Applied Mathematical Modelling, Vol. 43, 2017, p. 15-32.

Research output: Contribution to journalArticle

Gargano, Francesco ; Bagarello, Fabio ; Bagarello ; Di Salvo ; Oliveri, Francesco. / (H, ρ)-induced dynamics and the quantum game of life. In: Applied Mathematical Modelling. 2017 ; Vol. 43. pp. 15-32.
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