paper

The ideal energy of classical lattice dynamics

arXiv:1503.00713 · doi:10.1007/978-3-662-47221-7_13

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.

12 pages, 4 figures, includes revised portion of arXiv:0805.3357

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