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The ideal energy of classical lattice dynamics (1503.00713v4)
Published 2 Mar 2015 in nlin.CG, cs.IT, gr-qc, math.IT, and quant-ph
Abstract: We define, as local quantities, the least energy and momentum allowed by quantum mechanics and special relativity for physical realizations of some classical lattice dynamics. These definitions depend on local rates of finite-state change. In two example dynamics, we see that these rates evolve like classical mechanical energy and momentum.