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Open Quantum Systems Decoherence
Action principle for cellular automata and the linearity of quantum mechanics
arXiv
Authors: Hans-Thomas Elze
Year
2013
Paper ID
31569
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
Abstract
We introduce an action principle for a class of integer valued cellular automata and obtain Hamiltonian equations of motion. Employing sampling theory, these discrete deterministic equations are invertibly mapped on continuum equations for a set of bandwidth limited harmonic oscillators, which encode the Schrödinger equation. Thus, the linearity of quantum mechanics is related to the action principle of such cellular automata and its conservation laws to discrete ones.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We introduce an action principle for a class of integer valued cellular automata and obtain Hamiltonian equations of motion.
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