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

作者：Bagarello F; Di Salvo R; Gargano F^*; Oliveri F

来源：Applied Mathematical Modelling, 2017, 43: 15-32.

DOI：10.1016/j.apm.2016.10.043

• Fermionic operators
• Heisenberg-like dynamics
• Game of life
• Spectral analysis
• Cellular automata

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 rho 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, rho as well as on the initial conditions. After a general discussion on this (H, rho)-induced dynamics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.

• 出版日期2017-3