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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.
https://hal.inria.fr/hal-01442472 Contributor : Hal IfipConnect in order to contact the contributor Submitted on : Friday, January 20, 2017 - 4:09:15 PM Last modification on : Monday, January 23, 2017 - 12:49:47 PM Long-term archiving on: : Friday, April 21, 2017 - 3:47:02 PM
Norman Margolus. The Ideal Energy of Classical Lattice Dynamics. 21st Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA), Jun 2015, Turku, Finland. pp.169-180, ⟨10.1007/978-3-662-47221-7_13⟩. ⟨hal-01442472⟩