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.

Bagarello, F., Di Salvo, R., Gargano, F., Oliveri, F. (2017). (H, ρ)-induced dynamics and the quantum game of life. APPLIED MATHEMATICAL MODELLING, 43, 15-32 [10.1016/j.apm.2016.10.043].

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

BAGARELLO, Fabio;GARGANO, Francesco;
2017-01-01

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.
2017
Settore MAT/07 - Fisica Matematica
www.elsevier.com/inca/publications/store/5/2/4/9/9/8/
Bagarello, F., Di Salvo, R., Gargano, F., Oliveri, F. (2017). (H, ρ)-induced dynamics and the quantum game of life. APPLIED MATHEMATICAL MODELLING, 43, 15-32 [10.1016/j.apm.2016.10.043].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/221750
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