We propose an extended version of quantum dynamics for a certain system S, whose evo- lution is ruled by a Hamiltonian H, its initial conditions, and a suitable set ρ of rules, act- ing 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 dynam- ics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.

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

DI SALVO, ROSA;OLIVERI, Francesco
2017

Abstract

We propose an extended version of quantum dynamics for a certain system S, whose evo- lution is ruled by a Hamiltonian H, its initial conditions, and a suitable set ρ of rules, act- ing 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 dynam- ics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11570/3102924
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