Quantum-Classical Correspondence and Galois Extensions

Details Quantum-Classical Correspondence and Galois Extensions Quantum-Classical Correspondence and Galois Extensions

2002-06-08

arxiv.org/abs/math/0206082v1

Mathematics

Quantum Algebra

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

Scientific paper

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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