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An Algebraic Formulation of Quantum Decoherence

Mathematical Physics 2019-08-17 v1 math.MP

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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Cite

@article{arxiv.math-ph/0108001,
  title  = {An Algebraic Formulation of Quantum Decoherence},
  author = {M. A. Castagnino and A. R. Ordoniez},
  journal= {arXiv preprint arXiv:math-ph/0108001},
  year   = {2019}
}

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13 pages