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An Algebraic Formulation of Quantum Decoherence

M. A. Castagnino, A. R. Ordoniez

math-pharXiv:math-ph/0108001

Abstract

An algebraic formalism for quantum decoherence in systems with continuous evolution spectrum is introduced. A certain subalgebra, dense in the characteristic algebra of the system, is defined in such a way that Riemann-Lebesgue theorem can be used to explain decoherence in a well defined final pointer basis.

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