Quantum-Classical Correspondence and Galois Extensions

2002/06/08 by Wladyslaw Marcinek, Marcinek, Wladyslaw
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/0206082

11 pages in Latex, to be published in Banach Center Publication

arxiv created 2002/06/08 · arxiv updated 2009/11/30

Abstract

A proposal of an algebraic model for the relation between a quantum environment and certain classical particle system is given. The quantum environment is described by a category of possible quantum states, the initial particle system is represented by an associative algebra in the category of states. The result of particle interactions with quantum environment is described as Galois extension. A physical applications to highly organized structures of matter are discussed.

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